Question

The circumference of a circle is 132 cm. Find the perimeter of a square inscribed in the circle.​

Answer 1

Answer:

118.776

Step-by-step explanation:

we know that circumference of the circle is 2πr

2πr = 132cm

2*3.14*r=132

6.28*r=132

r=21cm

in a circle it's diameter is the diagonal of the square .

diameter =2r=2*21=42cm

relationship between side of square and it's diagonal is

$\sqrt{2} x = d$

where d is diameter and x is it's side.

√2 x =42cm

x=21√2 cm

x=21*1.414=29.69

perimeter of the square is 4x

4*29.6=118.776 cm