Question

Circumference of a circle is 33 cm. Find its area?
plz give the steps also !!!

Answer 1

GIVEN :

Circumference of a circle is 33 cm.

TO FIND :

• Its area ?

FORMULAE :

• A=πr^2
• C=2πr

SOLUTION :

The circumference of the circle is $2\pi \: r$

Here, C=33 cm

$33 = 2 \times \frac{22}{7} \times r \\ \\ r = \frac{33 \times 7}{2 \times 22} \\ \\ r = 5.25$

The area of the circle is a=$\pi \: r {}^{2}$

$a = \frac{22}{7} \times (5.25) {}^{2} \\ \\ a = \frac{22}{7} \times 27.5625 \\ \\ a = 86.625cm {}^{2}$

The area of the circle is 86.625 square centimeter.

Answer 2

Question :

The circumference of the Circle is 33 cm. Find its area .

Given :

• Circumference of circle = 33cm.

To find :

• Area of the circle.

Solution :

$\boxed {\tt Circumference \: of \: circle = \: 2\pi r}$

$: \implies \tt { 33 = 2\pi r}$

$: \implies \tt {33 = 2\times \dfrac {22}{7}\times r }$

$: \implies \tt { 33 \times \dfrac {7}{22} \times \dfrac {1}{2}= r }$

$:\implies \bf { r = 5.25 cm}$

$\boxed {\tt Area \: of \: circle =\: \pi r^2 }$

$: \implies \tt { Area = \frac {22}{7} \times {5.25}^2 }$

$: \implies \bf {Area = 86.625cm^2 }$