Question

9. A copper wire in the form of a circle, encloses an area of 616 cm². If the same wire is bent to
form a square, find its area. (Use π=22/7)
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Answer 1

Given :-

• A copper wire in the form of a circle, encloses an area of 616 cm². If the same wire is bent to form a square

To find :-

• Area of square

Solution :-

★ Area of copper wire = Area of circle = 616cm²

→ πr² = 616

→ 22/7 × r² = 616

→ 22 × r² = 616 × 7

→ r² = 616 × 7/22

→ r² = 28 × 7

→ r² = 196

→ r = √196 = 14cm

Hence radius of circle is 14cm

★ Perimeter of copper wire = Circumference of circle

→ 2πr

→ 2 × 22/7 × 14

→ 2 × 22 × 2

→ 88 cm

★ Perimeter of copper wire = Perimeter of square

→ 88 = 4 × side

→ Side = 88/4 = 22cm

Hence, side of square is 22cm

★ Area of square

→ side × side

→ 22 × 22

→ 484 cm²

Hence,

• Area of square is 484 cn²