Question

The perimeter of a square and the circumference of a circle are equal. If the length
of each side of the square is 22 cm, find :
(1) perimeter of the square.
(ii) circumference of the circle.
iii) radius of the circle.
​

Answer 1

Answer:

Given:-

⟹ The perimeter of a square and the circumference of a

circle are equal.

⟹ The length of each side of the square is 22 cm

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To Find:-

➠perimeter of the square.

➠circumference of the circle.

➠radius of the circle.

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Solution:-

⟹ perimeter of a square = 4 times it's side

⟹ perimeter of the square = 4(22)

⟹ perimeter of the square $\mathbb{\boxed{\purple {=88cm}}}$_______________________________

➠circumference of the circle = 88cm

as,the perimeter of the square and the circumference of the circle are equal.

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$⟹ circumference = 2\pi \: r \\ ⟹88 =  2 \times \frac{22}{7} \times r \\ ⟹ 88 = \frac{44}{7} \times r \\ \\ ⟹ r = \frac{88 \times 7}{44} \\ \\ ⟹ r = \frac{616}{44}$

$⟹ \mathbb{\boxed{\pink{r=14cm}}}$

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hope this helps.!