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# 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

**☛ Related Questions:**

- A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as show . . . .
- A large square is made by arranging a small square surrounded by four congruent rectangles as shown . . . .
- ABCD is a parallelogram in which AE is perpendicular to CD (Fig. 9.54). Also AC = 5 cm, DE = 4 cm, a . . . .

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