**Q) **Reeti prepares a rakhi for her brother Ronit. The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in a circle as shown in the figure. Find the area of the shaded region. (Use = 3.14)

**Ans:**

**VIDEO SOLUTION**

**STEP BY STEP SOLUTION**

Since the rectangle is inscribed inside the circle, its diagonals will pass through the center of circle and will be equal to circle’s diameter.

From the given information on rectangle, we can write:

(diagonal)^{2} = 6^{2 }+ 8^{2}

diagonal = 10 cm = diameter of circle

Radius of circle, r = 5 cm

Now, area of circle = 3.14 x 5 x 5 = 78.5 cm^{2}

Area of rectangle = 6 x 8 = 48 cm^{2}

Area of shaded region = Area of circle – Area of rectangle

= 78.5 – 48 = 30.5 cm^{2}

^{ }**Therefore, Area of shaded region is 30.5 cm ^{2}**