Find the area of the shaded region in Fig 9.51
Solution:
Given
Diameter of the complete circle = 14 cm
We know that
Radius = 14/2 = 7 cm
Here
Area of the complete circle = πr²
Substituting the values
= 22/7 × 7 × 7
= 154 cm²
It is given that
Diameter of small circle = 7/4 cm
Radius = 7/(4 × 2) = 7/8 cm
Here
Area of two small circles = 2 × πr²
Substituting the values
= 2 × 22/7 × 7/8 × 7/8
= 77/16 = 4.8 cm²
We know that
Area of shaded region = Area of complete circle - Area of two small circles
Substituting the values
= 154 - 4.8
149.2 cm²
Therefore, the area of the shaded region is 149.2 cm².
✦ Try This: Find the area of a circle with radius 2.5 cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 99
Find the area of the shaded region in Fig 9.51
Summary:
The area of the shaded region is 149.2 cm²
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