Acentral 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.

radius of the circle is approximately 2.5 inches

Step-by-step explanation:

The circle is illustrated in the diagram on the attached photo. The length of the arc is the distance on the circumference of the circle made by the central angle. The formula for determining the length of an arc is

Length of arc = #/360 × 2πr

Where

# is the angle at the center of the circle that forms the arc.

π is a constant given as 3.14

r is the radius of the circle.

We want to determine r

From the information provided,

the length of the arc is already given as 8 inches.

# = 180 degrees

Therefore,

8 = 180/360 × 2 × 3.14 × r

8 = 1/2 × 2 × 3.14 × r

8 = 3.14r

r = 8/3.14 =2.5478

Approximately 2.5 inches rounded up to one decimal place