Question

the circumference of a circle whose area is 225π sq. cm is​

Answer 1

Answer:

$area \: of \: circle \: = \: \pi \: {r}^{2} \\ \\ 225\pi = \pi \: {r}^{2} \\ \\ 225 = {r}^{2} \\ \\ r = \sqrt{225} \\ \\ r = 15cm$

Here in 2nd step pi and pi will get cancelled.

$circumference = 2 \: \pi \: r \\ \\ = 2 \times \frac{22}{7} \times 15 \\ \\ = 94 .28cm$

Answer 2

Answer:

94.28 cm

Step-by-step explanation:

Area of a circle = pi r2

=>225 pi =pi r2

=>225 =r2

=>root over of 225 = r

=> 15 cm = r

Circumference of a circle =2pi r

=>2×22/7×15=94.28 cm.