If the area of a circle measures 25π cm2, what is the circumference of the circle in terms of π? A) 5π cm B) 10π cm C) 50π cm D) 100π cm
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Area of the circle: 25π cm^2
Determine the circumference of the circle in terms of pi.
Formula for the are of the circle:
A = πr^2
Formula for the circumference of the circle:
C = 2πr
Solution:
We must first solve for the value of r. Hence we can do this by solving r in terms of A.
25π cm^2 =πr^2
25π cm^2 /π = r^2
25cm^2 = r^2
√r^2 =√25 cm^2
r = 5 cm
Now we can solve for the circumference
C = 2πr
C = 2π(5 cm)
C = 10π cm
Final answer:
B) 10π cm