The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
2 answers:
Answer:
A = 156.25 pi cm^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
25 pi = 2 * pi *r
Divide each side by 2 pi
25 pi/2 pi = 2 pi r / 2 pi
12.5 = r
We can find the area by
A = pi r^2
A = pi ( 12.5) ^2
A = 156.25 pi cm^2
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