Question

What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc?

Use 3.14 for π .


Round the answer to the hundredths place.

Enter your answer in the box.

Answer 1

22.93°

Explanation:

Recall that arc length, s, is given by the formula s = rФ, where Ф is the central angle in radians.

Here, s = 2 m = (5 m)Ф, so Ф = (2 m) / (5 m) = 2/5 radian

Converting this to degrees, we get:

180°

(2/5) radian * ------------ = 22.92°

π rad

If we use 3.14 instead of π, then:

180°

(2/5) radian * ------------ = 22.93°

3.14 rad