Question

A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in. What is the radius of the circle?

Answer 1

SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in. What is the radius of the circle?

Answer 2

Radius of the circle is 3.07 in ( inches).

Explanation:

The mathematical formula representing the relationship between radius and central angle is given as :

S = rθ

Where S is the length of the arc in inches (in)

r is the radius of the circle

θ is the central angle in radians

Given that from the above question,

S = 3.07 inches

Central angle (θ)= 1 radians

Radius = unknown which is represented by r

Therefore,

3.07in = 1r

Therefore, r = 3.07 ÷ 1

r = 3.07in (inches)

The radius of the circle is 3.07in (inches)