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
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