The circumference of a circle is 5 Pi cm. What is the area of the circle?

Mathematics

2 answers:

telo118 [61]3 years ago

6 0

Answer:

6.25 $\pi$ or and estimated answer of 19.625

Step-by-step explanation:

C = 2R $\pi$

Since 2R = D, the diameter is 5 cm and the radius is 2.5 cm

(D = diameter) (R = radius)

The area of a circle is $R^{2}$ $\pi$

So 2.5 squared equals 6.25

The area of this circle is 6.25 $\pi$

or and estimated answer of 19.625

(6.25 times pi)

Ber [7]3 years ago

4 0

Answer:

6.25 pi cm^2

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

We know the circumference is 5 pi

5 pi = 2 * pi *r

Divide each side by pi

5 pi/pi = 2 * pi *r/pi

5 = 2r

Divide by 2

5/2 = 2r/2

2.5 = r

We need to find the area of the circle

The area is given by

A = pi * r^2

= pi * (2/5)^2

= pi *6.25

= 6.25 pi cm^2

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The answer is of option D.

Hope this will help u...:)