Question

7. Find the area of a circle whose circumference is the same as the perimeter of a square of side 22 m.
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Answer 1

Answer:

side of a square =22 CM

perimeter of square= 88 CM

circumference of circle= perimeter of square

2πr=88cm

2×22/7×r=88cm

44/7×r=88cm

r=88×7/44

r=14cm

area of circle=π×r×r

22/7×14×14=44×4

176cm square

I hope this is helpful!

Answer 2

Given:

side of square is 22m

and it is also said that perimeter of square is equal to circumference of circle .

Find:

Area of circle

The perimeter of square = 4 × side

perimeter of square = 4 × 22

perimeter of square = 88 sq.m

now the circumference of circle is as same as perimeter of square .

circumference of circle is 88 sq.m

Circumference of circle = 2πr

88 = 2 × 22/7 × r

88 × 7 / 2 × 22 = r ( 88 divided by 22 )

4 × 7 / 2 = r ( 4 divided by 2 )

2 × 7 = r

14 = r

r = 14 m

Area of circle = πr²

Area of circle = 22/7 × 14 × 14 ( 14 divided by 7 )

Area of circle = 22 × 2 × 14

Area of circle = 616 sq.m