Question

An arc has a central angle of 1.8 radians and a radius of 20

inches.
(a) Determine the length of AB in inches.
(b) To the nearest degree, what is the measure of

Answer 1

a) Arc length (l) = 36 inches

b)

The nearest angle in degrees θ = 103.18°

Explanation:

Step(i):-

An arc has a central angle of 1.8 radians and a radius of 20 inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

Arc length (l) = r θ

l = 20 × 1.8 radians

l = 36

The length of arc = 36 inches

b)

we will convert radians to degree

1.8 × 180° / π = 324° / π ≅ 103.18°

The nearest angle in degrees θ = 103.18°