# The area of the circle that can be inscribed in a square of side 6 cm is

a. 36π cm²

b. 18π cm²

c. 12π cm²

d. 9π cm²

**Solution:**

Given, side of __square__ = 6 cm

We have to find the __area of the circle__ that can be inscribed in the square.

__Diameter of circle__ = side of square = 6 cm

Radius = 6/2

Radius = 3 cm

Area of circle = πr²

= π(3)²

= 9π

Therefore, the area of the circle is 9π square cm.

**✦ Try This:** The area of the square that can be inscribed in a circle of diameter 10 cm is

Given, diameter of circle = 10 cm

We have to find the area of the square that can be inscribed in the circle.

Diameter of circle = diagonal of square.

__Area of square__ = (diagonal)²/2

= (10)²/2

= 100/2

= 50 square cm.

Therefore, the area of the square that can be inscribed in the circle of diameter 10 cm is 50 square cm.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.1 Problem 7**

## The area of the circle that can be inscribed in a square of side 6 cm is a. 36π cm², b. 18π cm², c. 12π cm², d. 9π cm²

**Summary:**

The space occupied within the boundary/circumference of a circle is called the area of the circle. The area of the circle that can be inscribed in a square of side 6 cm is 9π square cm

**☛ Related Questions:**

- The area of the square that can be inscribed in a circle of radius 8 cm is a. 256 cm², b. 128 cm², c . . . .
- The radius of a circle whose circumference is equal to the sum of the circumferences of the two circ . . . .
- The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 . . . .

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