Question

Find the Area of a circle whose circumference is 31.43cm.

Answer 1

Answer:

78.61cm²

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving for, A

A=C2 /4

=31.432 /4·π

=≈78.6102cm²

Answer 2

Step-by-step explanation:

The formula used for circumference of a circle is 2πr.

$2\pi \: r = 31.43$

$r = \frac{31.43}{2\pi}$

$r \: \approx \: 5 \: cm$

The area of circle can be determined as follows

$area \: = \pi \: r ^{2}$

$area \: = \pi \times {( \frac{31.43}{2\pi})}^{2}$

$area \: = 78.61 \: cm^{2}$