Question

the circumference of a circle is 22.find the area and also find the area of circle​

Answer 1

$\sf \: Circumference \: of \: a \: circle = 2\pi r = 22 \: (unit) \\ \\ { \boxed{\sf = > \: \: \: \: \: \: \: \: \: \: \: \: \:2 \times \frac{22}{7} \times r =22 }} \\ \\ { \boxed{\sf = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: r = \frac{22}{2} \times \frac{7}{22} }} \\ \\ { \boxed{\sf = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:r = \frac{7}{2} \: (unit)}}$

Now,

${ \boxed{ \huge{ \tt{ Area \: \: of \: \: a \: \: circle = \pi {r}^{2} }}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: \: \frac{22}{7} \times ( \frac{7}{2} )^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22 \times 7}{2 \times 2} = \frac{154}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \boxed{\sf = 38.5 \: \: {(unit)}^{2} }}$

Answer 2

$\huge{\underline{\underline{\blue{\mathfrak{Answer \: : }}}}}$

★ Given :

Circumference of the circle is 22 cm.

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★ To Find :

Area of circle

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★ Solution :

We know that,

$\large{\boxed{\red{\sf{Circumference \: = 2 \pi r}}}}$

22 = (2 * 22 * r)/7

⟹ 22 * 7 = 44 * r

⟹ 154 = 44 * r

⟹ 154/44 = r

⟹ r = 3.5 cm

$\large{\boxed{\green{\sf{Radius \: (r)= 3.5 \: cm}}}}$

$\rule{200}{2}$

Now,

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

(Putting Values)

⟹ Area = (22 * 3.5 * 3.5)/7

⟹ Area = (22 * 12.25)/7

⟹ Area = 269.5/7

⟹ Area = 38.5 cm²

$\large{\boxed{\orange{\sf{Area = 38.5 \: cm^2}}}}$

$\rule{200}{2}$

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