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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