A central angle in a circle has a measure of 180 The length of the arc it intercepts is 8 in.

What is the radius of the circle?

**Use 3.14 for π and round your answer to ONE decimal place.

Step-by-step explanation:

An arc is the length along the circumference of a circle that is bounded by 2 radii. I

A central angle in a circle has a measure of 180. This means that the arc subtends an angle of 180 degrees at the center of the circle.

The length of the arc is 8 inches

Formula for the length of an arc is expressed as

Length of arc = #/360 * 2πr

r = radius of the circle

Length of arc = 8 inches

# 180 degrees

π = constant = 3.14

Substituting,

8 = 180/360 * 2 * 3.142 * r

8 = 3.14r

r = 8/3.14 = 2.56 inches