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

Answer:

Area = 156.25 pi square centimetres

Step-by-step explanation:

circumference = 》

$2 \: \pi\:r$

so,

=》

$2 \: \pi \: r = 25\pi$

=》

$r = 25 \div 2$

=》

$r = 12.5$

now, the area = 》

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

=》

$\ pi \times 12.5 \times 12.5$

=》

• [tex]156.25 pi square centimeters