Question

Find the area of the circle in which a square of area 64 cm² is inscribed. [Use π = 3.14]

Answer 1

Answer:

The area of circle is 100.48 cm².

Step-by-step explanation:

Given :

Area of a square = 64 cm²

Area of a square = side²

64 = side²

Side = √64

Side = 8 cm

Diagonal of a square = √2 × side

Diagonal of a square = √2 × 8

Diagonal of a square  = 8√2 cm

Diagonal of a square = diameter of the circle

[square is inscribed inside the circle]

Diameter of the circle = 8√2 cm

Radius of the circle ,r = 8√2/2 = 4√2 cm

Area of circle,A = πr²

A = 3.14 × (4√2)²

A = 3.14 × 16 ×2

A = 3.14 × 32

A = 100.48  

Area of circle = 100.48 cm²

Hence, the area of circle is 100.48 cm².

HOPE THIS ANSWER WILL HELP YOU….

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Answer 2

Solution

square = 64 cm²

square = side²

64 = side²

side = √64

side= 8 cm

square diagonal = 2 × side

square dioganal = 2 × 8

Diagonal square = 8 and 2 cm

Diagonal square = diameter of the circle

Diameter of circle = 8 and 2 cm

Radius of the circle r = 8 and 2/2 = 4 and 2 cm

Area of circle

A = πr²

A = 3.14 × (4√2)²

A = 3.14 × 16 ×2

A = 3.14 × 32

A = 100.48

hence area of the circle =

$100.48 {}^{2}$