Question

The circumference of a circle is 88 cm. What is the area of the circle​

Answer 1

$\sf \purple{ \huge \underline{\fbox{ \: Solution : \: \: }}}$

Given ,

The circumference of circle = 88 cm

We know that , the circumference of circle is given by

$\mathtt{ \large \fbox{Circumference \: of \: circle = 2\pi r}}$

$\sf \hookrightarrow 2 \times \frac{22}{7} \times r = 88 \\ \\ \sf \hookrightarrow \frac{r}{7} = \frac{88}{44} \\ \\ \sf \hookrightarrow r = 2 \times 7 \\ \\ \sf \hookrightarrow r = 14 \: cm$

Hence , the radius of circle is 14 cm

Now , the area of circle is given by

$\mathtt{ \large \fbox{Area \: of \: circle = \pi {(r)}^{2} }}$

Substitute the value , we obtain

$\sf \hookrightarrow Area = \frac{22}{ \cancel7} \times \cancel14 \times \\ \\ \sf \hookrightarrow Area = 22 \times 2 \times 14 \\ \\\sf \hookrightarrow Area = 616 \: \: {cm}^{2}$

Hence , the area of circle is 616 cm²

Answer 2

Question :

The circumference of a circle is 88 cm. What is the area of the circle.

Solution :

$\underline {\bold{Given:}}$

• The circumference of the circle = 88 cm

$\underline {\bold{To\:Find:}}$

• The area of the circle.

$\boxed {\pink{Radius=\frac{Circumference}{2\pi}}}$

$\implies Radius=\frac{Circumference}{2\pi} \\ \implies Radius = (\frac{88}{2 \times \frac{22}{7} } ) \: cm \\ \implies Radius = (\frac{88}{ \frac{44}{7} } ) \: cm \\ \implies Radius = (88 \times \frac{7}{44} ) \: cm \\ \implies Radius = 14 \: cm$

$\boxed {\pink{Area=\pi r^2}}$

$\implies Area=\pi r^2 \\ \implies Area= \frac{22}{7} \times {(14 \: cm)^2} \\ \implies Area= \frac{22}{7} \times 196 \: cm^2 \\ \implies Area= 616 \: cm^2$

$\boxed{\therefore{\green{The\: area \:of \:the \:circle\:is\: 616 \: cm^2.}}}$

#AnswerWithQuality

#BAL