MATH SOLVE

4 months ago

Q:
# What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?Use 3.14 for π .Round the answer to the hundredths place.Enter your answer in the box. in.What is the measure of the central angle of a circle with radius 24 ft that intercepts a 10 ft arc?Use 3.14 for π .Round the answer to the hundredths place.Enter your answer in the box.

Accepted Solution

A:

length of arc = (15/360) * 2*3.14*20 = 5.23 ins

circumference of the circle = 2*3.14*24 = 150.72

angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees

circumference of the circle = 2*3.14*24 = 150.72

angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees