Question

find the area of a circle circumscribing a square of side 6 cm

Answer 1

28.2857143. pls mark it as the brainliest answer.

Answer 2

Answer:

Area of circle circumscribing a square of side 6 cm is 18.85 cm²

Step-by-step explanation:

Given,

The circle circumscribes a square

Since we know,

Diameter of circle = Diagonal of square

Now According to question,

Side of square = 6 cm

Diagonal of square = 2 √side = 2√6 cm

Now,

Diameter of circle = 2√6 cm

Radius = Diameter / 2

Radius of circle = ( 2√6 ) / 2 = √6 cm

Since we know,

Area of circle = πr²

= 22 / 7 × ( √6 )²

= ( 22 / 7 ) × 6

= 18.85 cm²

Hence,

Area of circle circumscribing a square of side 6 cm is 18.85 cm²