Question

If the circumference of the circle is 50cm then find the area of the circle.​

Answer 1

Answer:

the full explanation is in the attachment, it'll be able to help you.

Answer 2

❍Circumference of the circle is 50cm

How to do

❍As given in the question circumference of the circle is given 50cm and we are said to find area of the circle so firstly we have to find radius after getting the value of radius then we will find area of circle and as we know that π is multiple of radius square. So let's find!

As we know that,

$\: \: \sf \: circumference \: of \: circle = 2 \pi \: r$

Substitute the value

$\ \: \: \: \: \: : \sf \: \implies 50 = 2 \times \frac{22}{7} \times r \\ \\ \: \: \: \sf \: : \implies 50 \times 7 = 44r \\ \\ \: \: \: \sf \: : \implies \: 350 = 44r \\ \\ \: \: \: \: \sf \: : \implies r = \frac{350}{44} \\ \\ \: \: \: \sf \: : \implies \: r = 7.9cm$

Hence, Radius of the circle is 7.9cm.

According to the question,

• Radius of the circle is 7.9cm and we have to find area of circle

As we know that

$\: \: \sf \: area \: of \: circle = \pi {r}^{2}$

Now substitute the value

$\: \: \: \sf \: area = \frac{22}{7} \times {7.9}^{2} \\ \\ \: \: \sf \: area = \frac{22}{7} \times 62.41 \\ \\ \: \: \sf \: area = \frac{1373.02}{7} \\ \\ \: \: \sf \: area = 196.14 {cm}^{2}$

Hence, Area of circle is 196.14cm^2.