Question 1

Find the area of the circular sector with a radius r = 7.8 ft and central angle θ = 
  
. Round your answer to three significant digits.

Accepted Answer

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

Question 2

Find the area of the circular sector with a radius r = 7.9 km and central angle $\theta$ =

°) Round your answer to one decimal place.

Accepted Answer

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

Question 3

Find the area of the circular sector with a radius r = 8.6 in and central angle θ = 
  
°. Round your answer to one decimal place.

Accepted Answer

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

Question 4

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 28 miles in time t = 55 seconds. Round your answer to two decimal places.

Accepted Answer

The answer of Find the linear speed of a point...

Question 5

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 20.5 centimeters in time t = 21.8 minutes. Round your answer to two decimal places.

Accepted Answer

The answer of Find the linear speed of a point...

Question 6

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 14/ 25 meters in time t= 9 seconds.

Accepted Answer

The linear speed $v$ of a point moving in a circular motion is given by the formula $v = \frac{s}{t}$, where $s$ is the arc length and $t$ is the time. Substituting the given values, $v = \frac{14/25}{9} = \frac{14}{25} \times \frac{1}{9} = \frac{14}{225} = \frac{126}{225} = \frac{126}{25}$ meters/second.

Question 7

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 35 centimeters in time t = 15 hours. Round your answer to two decimal places.

Accepted Answer

The answer of Find the linear speed of a point...

Question 8

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 10 centimeters in time t = 6.5 minutes. Round your answer to two decimal places.

Accepted Answer

The answer of Find the linear speed of a point...

Question 9

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 
7/ 8 feet in time t= 85 years.

Accepted Answer

The answer of Find the linear speed of a point...

Question 10

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 5.1 miles/day in time t = 8.1 days. Round your answer to one decimal place.

Accepted Answer

The distance traveled around a circle at constant speed is given by the formula distance = speed × time. Here, v = 5.1 miles/day and t = 8.1 days, so distance = 5.1 miles/day × 8.1 days = 41.31 miles, which rounds to 41.3 miles.

Question 11

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15 inches/second in time t = 52 seconds. Round your answer to one decimal place.

Accepted Answer

The distance traveled around a circle (arc length) can be found by multiplying the speed by the time, i.e., distance = speed × time. Here, distance = 15 inches/second × 52 seconds = 780 inches.

Question 12

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 12 kilometers/minutes in time t = 58 years. Round your answer to one decimal place.

Accepted Answer

The answer of Find the distance (arc length) a point...

Question 13

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15.1 inches/minute in time t = 14.1 minutes. Round your answer to one decimal place.

Accepted Answer

The answer of Find the distance (arc length) a point...

Question 14

Find the angular speed,

, associated with rotating a central angle $\theta$ = 15

In time t = 23 seconds. Express your answer in radians/second.

Accepted Answer

The answer of Find the angular speed,

, associated with rotating...

Question 15

Find the angular speed, 
  
, associated with rotating a central angle θ = 12
  
in time t = 17 seconds. Express your answer in radians/second.

Accepted Answer

The answer of Find the angular speed, 
  
,...

Question 16

Find the angular speed,

, associated with rotating a central angle $\theta$ =

In time t = 10 seconds.

Accepted Answer

The answer of Find the angular speed,

, associated with rotating...

Question 17

Find the angular speed,

, associated with rotating a central angle $\theta$= 645° in time t = 30 seconds.

Accepted Answer

The answer of Find the angular speed,

, associated with rotating...

Question 18

Find the angular speed, 
  
, associated with rotating a central angle θ = 360° in time t = 20 seconds.

Accepted Answer

The answer of Find the angular speed, 
  
,...

Question 19

Find the angular speed, 
  
, associated with rotating a central angle θ =
  
in time t =
  
seconds.

Accepted Answer

The answer of Find the angular speed, 
  
,...

Question 20

Find the linear speed of a point traveling at a constant speed along the circumference of a circle with radius r = 29 feet and angular velocity

=

Accepted Answer

The answer of Find the linear speed of a point...

Quiz 4: Trigonometric Functions of Angles

Find the area of the circular sector with a radius r = 7.8 ft and central angle θ = . Round your answer to three significant digits.

Find the area of the circular sector with a radius r = 8.6 in and central angle θ = °. Round your answer to one decimal place.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 28 miles in time t = 55 seconds. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 20.5 centimeters in time t = 21.8 minutes. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 14/ 25 meters in time t= 9 seconds.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 35 centimeters in time t = 15 hours. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 10 centimeters in time t = 6.5 minutes. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 7/ 8 feet in time t= 85 years.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 5.1 miles/day in time t = 8.1 days. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15 inches/second in time t = 52 seconds. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 12 kilometers/minutes in time t = 58 years. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15.1 inches/minute in time t = 14.1 minutes. Round your answer to one decimal place.

Find the angular speed, , associated with rotating a central angle θ = 12 in time t = 17 seconds. Express your answer in radians/second.

Find the angular speed, $Find the angular speed, , associated with rotating a central angle \theta = 645° in time t = 30 seconds. A) B) C) D)$ , associated with rotating a central angle $\theta$ = 645° in time t = 30 seconds.

Find the angular speed, , associated with rotating a central angle θ = 360° in time t = 20 seconds.

Find the angular speed, , associated with rotating a central angle θ = in time t = seconds.

Find the linear speed of a point traveling at a constant speed along the circumference of a circle with radius r = 29 feet and angular velocity =

Quiz 4: Trigonometric Functions of Angles

Find the area of the circular sector with a radius r = 7.8 ft and central angle θ = . Round your answer to three significant digits.

Find the area of the circular sector with a radius r = 7.9 km and central angle θ\thetaθ = °) Round your answer to one decimal place.

Find the area of the circular sector with a radius r = 8.6 in and central angle θ = °. Round your answer to one decimal place.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 28 miles in time t = 55 seconds. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 20.5 centimeters in time t = 21.8 minutes. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 14/ 25 meters in time t= 9 seconds.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 35 centimeters in time t = 15 hours. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 10 centimeters in time t = 6.5 minutes. Round your answer to two decimal places.

Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length s = 7/ 8 feet in time t= 85 years.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 5.1 miles/day in time t = 8.1 days. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15 inches/second in time t = 52 seconds. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 12 kilometers/minutes in time t = 58 years. Round your answer to one decimal place.

Find the distance (arc length) a point travels around a circle if it moves with constant speed v = 15.1 inches/minute in time t = 14.1 minutes. Round your answer to one decimal place.

Find the angular speed, , associated with rotating a central angle θ\thetaθ = 15 In time t = 23 seconds. Express your answer in radians/second.

Find the angular speed, , associated with rotating a central angle θ = 12 in time t = 17 seconds. Express your answer in radians/second.

Find the angular speed, , associated with rotating a central angle θ\thetaθ = In time t = 10 seconds.

Find the angular speed, , associated with rotating a central angle θ\thetaθ = 645° in time t = 30 seconds.

Find the angular speed, , associated with rotating a central angle θ = 360° in time t = 20 seconds.

Find the angular speed, , associated with rotating a central angle θ = in time t = seconds.

Find the linear speed of a point traveling at a constant speed along the circumference of a circle with radius r = 29 feet and angular velocity =

Find the angular speed, $Find the angular speed, , associated with rotating a central angle \theta = 645° in time t = 30 seconds. A) B) C) D)$ , associated with rotating a central angle $\theta$ = 645° in time t = 30 seconds.