MATH SOLVE

4 months ago

Q:
# What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18Ο centimeters arc?

Accepted Solution

A:

the circumference of the circle when r=30 is C=60Ο

the arc is 18Ο, it is 18Ο/60Ο=3/10 of the whole circle

the arc is 3/10 of 360 degree, which is 108 degree

the central angle measures the same as the arc, 108 degree.

the arc is 18Ο, it is 18Ο/60Ο=3/10 of the whole circle

the arc is 3/10 of 360 degree, which is 108 degree

the central angle measures the same as the arc, 108 degree.