# The area of the square that can be inscribed in a circle of radius 8 cm is

a. 256 cm²

b. 128 cm²

c. 12 cm²

d. 9 cm²

**Solution:**

Given, __radius of circle__ = 8 cm

We have to find the __area of the square__ that can be inscribed in the circle.

__Diameter of circle__ = diagonal of square

So, __diagonal of square__ = 8 + 8 = 16 cm

Area of square = (diagonal)²/2

= (16)²/2

= 16(8)

= 128 square cm

Therefore, the area of the square inscribed in the circle is 128 square cm.

**✦ Try This:** The area of the circle that can be inscribed in a square of side 9 cm is

Given, side of square = 9 cm

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

Side of square = diameter of circle

So, diameter = 9 cm

Radius = 9/2 cm

Area of circle = πr²

= π(9/2)²

= 81π/4 square cm.

Therefore, the area of the circle is 81π/4 square cm.

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

**NCERT Exemplar Class 10 Maths Exercise 11.1 Problem 8**

## The area of the square that can be inscribed in a circle of radius 8 cm is a. 256 cm², b. 128 cm², c. 12 cm², d. 9 cm²

**Summary:**

The area of a square is defined as the number of square units needed to fill a square.The area of the square that can be inscribed in a circle of radius 8 cm is 128 cm²

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