Question

The circumference of a circle is 25π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answer 1

Area = 156.25 pi square centimetres

Explanation:

circumference = 》

`2 \: \pi\:r`

so,

=》

`2 \: \pi \: r = 25\pi`

=》

`r = 25 / 2`

=》

`r = 12.5`

now, the area = 》

`\pi \: r \: {}^(2)`

=》

`\</strong><strong> </strong><strong>pi</strong><strong> * 12.5 * 12.5`

=》

• [tex]156.25 pi square centimeters