Question

the circumference of a circle is 242cm. what will be its area?​

Answer 1

QUESTION

The circumference of a circle is 242cm. what will be its area?

Solution

Given : Circumference of Circle is 242 cm .

To Find :

• radius
• Area of circle

Formula:

$\blue {\bold{circumfrence = 2 \times \pi \times r}}$

$\red {\bold{area \: of \: circle \: = \: {\pi}^{2} \: \: units}}$

procedure:

• Finding radius :

$circumfrence \: = 242cm$

$2 \: \pi \: r \: = 242cm$

$2 \times \frac{22}{7} \times r = 242$

$r = 242 \times \frac{7}{22} \times \frac{1}{2} \\ \\ r = 38.5cm$

• finding area

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

$area = \frac{22}{7} \times {38.5}^{2}$

$\boxed {\bold{3.14×1482.5 = 4655.05{cm}^{2} }}$