Question

the perimeter of a square and the cricumference of a circle are equal if each side of the square is 22 CM find the perimeter of the circle​

Answer 1

Answer:

side of the square is given=22cm.

perimeter of the square=4*side.

perimeter of the square=4*22.

perimeter of the square=88cm.

Given perimeter of square is equal to the perimeter of circle=88cm.

.: perimeter of the ciecle is 88cm.........answer.

Step-by-step explanation:

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Answer 2

$\red{\large{\underline{\underline{ \rm{Correct \: Question: }}}}}$

The perimeter of a square and the circumference of a circle are equal. If the length of each side of square is 22 cm. Find :- (i) Perimeter of a square. (ii) Circumference of a circle (iii) Radius of the circle.

$\red{\large{\underline{\underline{ \rm{Given: }}}}}$

☘︎ The perimeter of a square and the circumference of a circle are equal.

☘︎ The length of each side of square is 22 cm.

$\red{\large{\underline{\underline{ \rm{To \: Find: }}}}}$

☯ Perimeter of a square.

☯ Circumference of the circle.

☯ Radius of the circle.

$\red{\large{\underline{\underline{ \rm{Solution: }}}}}$

(i) Side of square = 22 cm

Perimeter of square = 4 × side = 4a units

$\tt{ = 4 \times 22 = 88 \: cm}$

Perimeter of a square = $\green{ \underline{ \boxed{ \tt{88 \: cm}}}}$

(ii) It is given that the perimeter of a square and the circumference of a circle are equal.

$\tt{ \therefore{Perimeter \: of \: square = Circumference \: of \: circle}}$

Circumference of a circle = $\green{ \underline{ \boxed{ \tt{ 88 \: cm}}}}$

(iii) Circumference of a circle = 88 cm

$\tt{2\pi r = 88 \: cm}$

$\tt{r = \dfrac{88}{2\pi} }$

π is an irrational number and its value is taken as $\frac{22}{7}$.

$\tt{r = \dfrac{88 \times 7}{2 \times 22} }$

$\tt r= { \dfrac{616}{44} }$

$\tt{r = 14 \: cm}$

Radius of a circle = $\green{ \underline{ \boxed{ \tt{14 \: cm}}}}$

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