Question

Taking pie 22/7 find the circumference and radius of a circle whose area is 200.96cm

Answer 1

$\huge{\underline{\underline{\red{\sf{Answer :}}}}}$

$\large\tt Given\begin{cases} \sf{ \pi \: = \: \frac{22}{7} } \\ \sf{Area \: of \: circle = \: 200.96 {cm}^{2} } \end{cases}$

Solution :

We have formula for area of circle.

$\Large{\underline{\boxed{\sf{Area \: of \: circle \: = \: \pi r^2}}}}$

Put Values

⇒200.96 = 22/7 * r²

⇒200.96 * 7/22 = r²

⇒1406.72/22 = r²

⇒63.96 = r²

⇒r² ≈ 64

⇒r = √64

⇒r = 8

∴ Radius is 8 cm

$\rule{200}{2}$

We have formula for Circumference of circle :

$\Large{\underline{\boxed{\sf{Circumfrence \: of \: circle \: = \: 2 \pi r}}}}$

Put Values

⇒2 * 22/7 * 8

⇒44*8/7

⇒352/7

⇒50.28 cm

∴ Circumference of circle is 50.28 cm

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Answer 2

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By using formula of area of circle

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

Now , we substituting the values

= 200.96 = 22/7 × r²

= 200.96 × 7/22 = r²

= 1406.72/22 = r²

= 63.96 = r²

= r² ≈ 64

= r = √64

= r = 8

Hence, the Radius is 8 cm

By using the formula for Circumference of circle :

$\tt\green{Circumfrence \: of \: circle \: = \: 2 \pi r}$

By substituting the values

=2 × 22/7 × 8

=44×8/7

=352/7

=50.28 cm

Hence the Circumference of circle is 50.28 cm