Question

45. The circumference of a circle is 88
cm. The side of a largest square
inscribed in the circle is​

Answer 1

Given info : The circumference of a circle is 88 cm.

To find : The side of the largest square inscribed in the circle is...

solution : let r be the radius of circle.

circumference of circle = 2πr

⇒88 cm = 2 × 22/7 × r

⇒r = 88 × 7/(2 × 22) = 14 cm

Therefore radius of circle is 14 cm.

for inscribing the largest square in a circle,

diagonal of square = diameter of circle

⇒√2 × side length of square = 2 × r

⇒√2 × side length of square = 2 × 14 cm

⇒side length of square = 14√2 cm

Therefore side length of the largest square inscribed in the circle is 14√2 cm.

Answer 2

solution :

let r be the radius of circle.

circumference of circle = 2πr

⇒88 cm = 2 × 22/7 × r

⇒r = 88 × 7/(2 × 22) = 14 cm

Therefore radius of circle is 14 cm.

for inscribing the largest square in a circle,

diagonal of square = diameter of circle

⇒√2 × side length of square = 2 × r

⇒√2 × side length of square = 2 × 14 cm

⇒side length of square = 14√2 cm

Therefore side length of the largest square inscribed in the circle is 14√2 cm