Question

PUDICII

In the figure below, the radius of circle P is 18 units. The arc length of BA is
14.
What is the arc measure of BC, in degrees?​

Answer 1

The arc measure of BC is 64

Explanation:

1. Calculate the full circumference of the circle

C=2pir

=2pi(18)

=36pi

2. Figure out the arc measure

arc length/circumference=arc measure/degrees in a circle

14pi/36pi=arc measure/360 (solve for arc measure)

14pi/36pi *360=140

The measures of BC and CA add up to the measure of BA

mBC +76=140

BC=64