Deck 36: Lengths of Arcs of Circles

Question 1

A rectangular 45° duct is 7 inches wide. The radius of the throat is 5 inches. What is the arc length of the throat to the nearer 16th inch?

Answer 1

3 15/16 in

Question 2

A 254° arc has a radius of 10.5 centimeters. Find the length of the arc. Round the answer to the nearer hundredth centimeter.

Answer 2

46.55 cm

Question 3

An arc has a length of 52.25 centimeters. The radius is 13.5 centimeters. Find the number of degrees in the central angle of the arc. Round the answer to the nearer degree.

Answer 3

222

Question 4

For a given arc length L and circumference C , the arc length is = C x L /360°.

Question 5

A 55° arc has a radius of 3 inches. Find the length of the arc. Round the answer to the nearer thousandth inches.

Question 6

The length of an arc of a circle is 18.55 feet. The diameter of the circle is 11 feet. How many degrees are in the central angle of the arc? Round the answer to the nearer degree.

Question 7

A rectangular 45° duct is 7 inches wide. The radius of the throat is 5 inches. What is the arc length of the heel to the nearer 16th inch?

Question 8

To find the length of the stretchout of the throat or the heel, the arc length is needed.

Question 9

There are six equally spaced markings along the edge of the circular temperature control dial of a refrigerator. The arc length between the markings is 3.6 centimeters. Find the diameter of the dial. Round the answer to the nearer hundredth centimeter.

Question 10

A 35° arc has a radius of 2 inches. Find the length of the arc. Round the answer to the nearer thousandth inches.