# In Fig 11.4, a circle of radius 7.5 cm is inscribed in a square. Find the area of the shaded region (Use π = 3.14)

**Solution:**

Given, __radius of circle__ inscribed in a square, r = 7.5 cm

We have to find the area of the shaded region.

Area of circle = πr²

= (3.14)(7.5)²

= 176.625 square cm.

Side of square = diameter of circle.

__Diameter of circle__ = 2(7.5) = 15 cm

So, side of square = 15 cm

__Area of square__ = (side)²

= (15)²

= 225 square cm

Area of shaded region = area of square - area of circle.

= 225 - 176.625

= 48.375 square cm.

Therefore, the area of the shaded region is 48.375 cm².

**✦ Try This: **In Fig, a circle of radius 5 cm is inscribed in a square. Find the area of the shaded region (Use π = 3.14)

Given, radius of circle inscribed in a square, r = 5 cm

We have to find the area of the shaded region.

Area of circle = πr²

= (3.14)(5)²

= 78.5 square cm.

Side of square = diameter of circle.

Diameter of circle = 2(5) = 10 cm

So, side of square = 10 cm

Area of square = (side)²

= (10)²

= 100 square cm

Area of shaded region = area of square - area of circle.

= 100 - 78.5

= 21.5 square cm.

Therefore, the area of the shaded region is 21.5 cm².

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

**NCERT Exemplar Class 10 Maths Exercise 11.3 Sample Problem 3**

## In Fig 11.4, a circle of radius 7.5 cm is inscribed in a square. Find the area of the shaded region (Use π = 3.14)

**Summary:**

In Fig 11.4, a circle of radius 7.5 cm is inscribed in a square. The area of the shaded region is 48.375 square cm

**☛ Related Questions:**

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- In Fig. 11.5, a square of diagonal 8 cm is inscribed in a circle. Find the area of the shaded region

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