Question

The area of circle whose circumference is equal to the perimeter of a square of side 11 cm is​

Answer 1

$\mathfrak{Answer}$

154 cm²

$\mathfrak{Explanation}$

Given that,

Side of square = 11 cm

Perimeter = 4 × side = 4 × 11 = 44 cm

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Circumference of circle = Perimeter of square

Circumference of circle = 44 cm

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Circumference = 44 cm

2πr = 44 cm

2 × $\frac{22}{7}$ × r = 44cm

$\frac{44}{7}$ r = 44 cm

radius = 44 ÷ $\frac{44}{7}$

radius = 44 × $\frac{7}{44}$

radius = 7 cm

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Area = πr²

Area = $\frac{22}{7}$ × 7 × 7

Area = 154 cm²