Question

A copper wire when bent in the form of a square encloses an area of 27 2.25 CM square if the same wire is bent into the form of a circle what will be the area enclosed by the wire

Answer 1

Answer:

346.5 cm²

Step-by-step explanation:

Find the length of the square:

Area = Length²

Length² = 272.25 cm²

Length = √272.25 = 16.5 cm

Find the perimeter of the square:

Perimeter = 4 x Length

Perimeter - 4 x 16.5 = 66 cm

Find the radius of the circle:

Circumference = 2πr

2πr = 66 cm

r = 66 ÷ 2π

r = 10.5 cm

Find the area of the circle

Area = πr²

Area = π(10.5)² = 346.5 cm²

Answer:  346.5 cm²

Answer 2

Answer:

Find the length of the square:

Area = Length²

Length² = 272.25 cm²

Length = √272.25 = 16.5 cm

Find the perimeter of the square:

Perimeter = 4 x Length

Perimeter - 4 x 16.5 = 66 cm

Find the radius of the circle:

Circumference = 2πr

2πr = 66 cm

r = 66 ÷ 2π

r = 10.5 cm

Find the area of the circle

Area = πr²

Area = π(10.5)² = 346.5 cm²

Answer:  346.5 cm²

Step-by-step explanation: