Question 1

A sector of area in² is formed by a central angle of 45°. What is the radius of the circle? If the answer needs rounding, round it to three significant digits. r = __________ inches

Accepted Answer

The answer of A sector of area in² is formed...

Question 2

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles. __________ miles

Accepted Answer

The answer of If the distance to the sun is...

Question 3

For the problem below, θ  is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 335°, r = 5 inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

Accepted Answer

The answer of For the problem below, θ  is a...

Question 4

For the problem below, θ  is a central angle in a circle of radius r . Find the length of arc s cut off by θ . 
θ = 2, r = 6  inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

Accepted Answer

The answer of For the problem below, θ  is a...

Question 5

θ  is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 3°,   m . If the answer needs rounding, round it to three significant digits. r = __________ m

Accepted Answer

The answer of θ  is a central angle that cuts...

Question 6

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

Accepted Answer

The answer of Find the area of the sector formed...

Question 7

The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 4 feet and the angle through which it swings is 23°, how far does the tip of the pendulum travel in 1 second? If the answer needs rounding, round it to three significant digits. __________ feet

Accepted Answer

The answer of The pendulum on a grandfather clock swings...

Question 8

For the problem below, θ  is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 30°, r = 2  mm. If the answer needs rounding, round it to three significant digits. s = __________ mm

Accepted Answer

The answer of For the problem below, θ  is a...

Question 9

θ  is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4  ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

Accepted Answer

The answer of θ  is a central angle that cuts...

Question 10

A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 and project water out 50 feet. What is the area (rounded to three significant digits)of the yard watered by the sprinkler? A)1,960 feet ² B)2,000 feet ² C)1,940 feet ² D)1,990 feet ² E)1,970 feet ²

Accepted Answer

The answer of A lawn sprinkler is located at the...

Question 11

Find the area of the sector formed by central angle θ = 2.6 in a circle of radius r = 4 inches. If the answer needs rounding, round it to three significant digits. A = __________ in²

Accepted Answer

The answer of Find the area of the sector formed...

Question 12

θ  is a central angle that cuts off an arc of length s . Find the radius of the circle if  , s = π cm. If the answer needs rounding, round it to three significant digits. r = __________ cm

Accepted Answer

The answer of θ  is a central angle that cuts...

Question 13

θ  is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 160°, s = 3 km. If the answer needs rounding, round it to three significant digits. r = __________ km

Accepted Answer

The answer of θ  is a central angle that cuts...

Question 14

The figure is a model of George Ferris's Ferris wheel. The diameter of the wheel is 248 feet; and θ is the central angle formed as a rider travels from his or her initial position P ₀ to position P ₁. Find the distance traveled by the rider if θ = 213° . Round your answer to the nearest tenth. s = __________ ft

Accepted Answer

The answer of The figure is a model of George...

Question 15

A light truck with manual transmission has a circular brake drum with a diameter of 323 millimeters. Each brake pad, which presses against the drum, is 308 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and in degrees. If the answer needs rounding round it to three significant digits.  a = 308  millimeters, b = 323  millimeters 
​__________ radians 
__________ degrees

Accepted Answer

The answer of A light truck with manual transmission has...

Question 16

A Ferris Wheel called Colossus has a diameter of 158 feet. Using the figure as a model, find the distance traveled by someone starting at initial position P ₀ and moving to position P ₁. Round your answers to the nearest tenth. if θ = 157° s = __________ feet if θ = 201 ° s = __________ feet if θ = 279 ° s = __________ feet

Accepted Answer

The answer of A Ferris Wheel called Colossus has a...

Question 17

Find the area of the sector formed by central angle in a circle of radius r = 3 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

Accepted Answer

The answer of Find the area of the sector formed...

Question 18

Arc length The minute hand of a clock is 1.2 centimeters long. How far does the tip of the minute hand travel in 30 minutes? If the answer needs rounding, round it to three significant digits. __________ centimeters

Accepted Answer

The answer of Arc length The minute hand of a...

Question 19

The current San Francisco cable railway is driven by two large 12-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270° on each sheave. Find the length of cable riding on one of the drive sheaves at any given time. ​  a = 12 ft If the answer needs rounding round it to three significant digits. __________ feet

Accepted Answer

The answer of The current San Francisco cable railway is...

Question 20

An arc of length 3 feet is cut off by a central angle of radians. Find the area of the sector formed. If the answer needs rounding, round it to three significant digits. A = __________ ft²

Accepted Answer

The answer of An arc of length 3 feet is...

Quiz 3: Radian Measure

A sector of area in² is formed by a central angle of 45°. What is the radius of the circle? If the answer needs rounding, round it to three significant digits. r = __________ inches

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles. __________ miles

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 335°, r = 5 inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 2, r = 6 inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 3°, m . If the answer needs rounding, round it to three significant digits. r = __________ m

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 30°, r = 2 mm. If the answer needs rounding, round it to three significant digits. s = __________ mm

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4 ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 and project water out 50 feet. What is the area (rounded to three significant digits) of the yard watered by the sprinkler?

Find the area of the sector formed by central angle θ = 2.6 in a circle of radius r = 4 inches. If the answer needs rounding, round it to three significant digits. A = __________ in²

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if , s = π cm. If the answer needs rounding, round it to three significant digits. r = __________ cm

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 160°, s = 3 km. If the answer needs rounding, round it to three significant digits. r = __________ km

Find the area of the sector formed by central angle in a circle of radius r = 3 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

Arc length The minute hand of a clock is 1.2 centimeters long. How far does the tip of the minute hand travel in 30 minutes? If the answer needs rounding, round it to three significant digits. __________ centimeters

An arc of length 3 feet is cut off by a central angle of radians. Find the area of the sector formed. If the answer needs rounding, round it to three significant digits. A = __________ ft²

Quiz 3: Radian Measure

A sector of area in2 is formed by a central angle of 45°. What is the radius of the circle? If the answer needs rounding, round it to three significant digits. r = __________ inches

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles. __________ miles

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 335°, r = 5 inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 2, r = 6 inches. If the answer needs rounding, round it to three significant digits. s = __________ inches

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 3°, m . If the answer needs rounding, round it to three significant digits. r = __________ m

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m2

For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . θ = 30°, r = 2 mm. If the answer needs rounding, round it to three significant digits. s = __________ mm

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4 ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 and project water out 50 feet. What is the area (rounded to three significant digits) of the yard watered by the sprinkler? ​

Find the area of the sector formed by central angle θ = 2.6 in a circle of radius r = 4 inches. If the answer needs rounding, round it to three significant digits. A = __________ in2

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if , s = π cm. If the answer needs rounding, round it to three significant digits. r = __________ cm

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 160°, s = 3 km. If the answer needs rounding, round it to three significant digits. r = __________ km

Find the area of the sector formed by central angle in a circle of radius r = 3 m. If the answer needs rounding, round it to three significant digits. A = __________ m2

Arc length The minute hand of a clock is 1.2 centimeters long. How far does the tip of the minute hand travel in 30 minutes? If the answer needs rounding, round it to three significant digits. __________ centimeters

An arc of length 3 feet is cut off by a central angle of radians. Find the area of the sector formed. If the answer needs rounding, round it to three significant digits. A = __________ ft2

A sector of area in² is formed by a central angle of 45°. What is the radius of the circle? If the answer needs rounding, round it to three significant digits. r = __________ inches

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90 and project water out 50 feet. What is the area (rounded to three significant digits) of the yard watered by the sprinkler?

Find the area of the sector formed by central angle θ = 2.6 in a circle of radius r = 4 inches. If the answer needs rounding, round it to three significant digits. A = __________ in²

Find the area of the sector formed by central angle in a circle of radius r = 3 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

An arc of length 3 feet is cut off by a central angle of radians. Find the area of the sector formed. If the answer needs rounding, round it to three significant digits. A = __________ ft²