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# Find the area of the shaded portion in Fig. 9.45, where a square is inscribed in a circle whose radius is 7 cm.

[Hint: Four right-angled triangles joined at right angles to form a square]

**Solution:**

Given, __radius of circle__ is 7 cm

The square is inscribed in a circle

We have to find the area of the shaded region.

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

__Area of square__ ABCD = 4 × area of triangle AOB

__Area of triangle__ = 1/2 × base × height

Area of triangle AOB = 1/2 × OB × AO

= 1/2 × 7 × 7

= 49/2 cm²

Area of square ABCD = 4 × 49/2

= 2(49)

= 98 cm²

__Area of circle__ = πr²

= (22/7)(7)²

= 22(7)

= 154 cm²

Area of shaded region = 154 - 98

= 56 cm²

Therefore, the area of the shaded region is 56 cm².

**✦ Try This: **Find the area of the shaded portion in Fig, where a square is inscribed in a circle whose radius is 8 cm. [Hint: Four right-angled triangles joined at right angles to form a square]

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 93**

## Find the area of the shaded portion in Fig. 9.45, where a square is inscribed in a circle whose radius is 7 cm. [Hint: Four right-angled triangles joined at right angles to form a square]

**Summary:**

The area of the shaded portion in Fig. 9.45, where a square is inscribed in a circle whose radius is 7 cm, is 56 cm².

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