# The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is

(a) 5 π

(b) 10 π

(c) 15 π

(d) 20 π

**Solution:**

Given, area of square is 100 cm²

We have to find the circumference of the largest circle cut out of the square.

Area of square = (side)²

side² = 100

Taking square root,

side = 10 cm

The diameter of the circle will be equal to the side of the square.

Diameter of circle = 10 cm

Radius = 10/2 = 5cm

Circumference of circle = 2πr

Where, r is the radius of circle

= 2π(5)

= 10π cm

Therefore, the circumference of the circle is 10π cm.

**✦ Try This: **The area of a square is 36 cm². The circumference (in cm) of the largest circle cut of it is

Given, area of square is 36 cm²

We have to find the circumference of the largest circle cut out of the square.

Area of square = (side)²

side² = 36

Taking square root,

side = 6 cm

The diameter of the circle will be equal to the side of the square.

Diameter of circle = 6 cm

Radius = 6/2 = 3 cm

Circumference of circle = 2πr

Where, r is the radius of circle

= 2π(3)

= 6π cm

Therefore, the circumference of the circle is 6π cm.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 35**

## The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is (a) 5 π, (b) 10 π, (c) 15 π, (d) 20 π

**Summary:**

The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is 10π cm.

**☛ Related Questions:**

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