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Reeti prepares a Rakhi for her brother Ronit. The Rakhi consists of a rectangle of length $8 \text{ cm}$ and breadth $6 \text{ cm}$ inscribed in a circle as shown in the figure. Find the area of the shaded region. (Use $\pi = 3.14$)
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Diagonal of rectangle = $\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$
$\therefore$ Radius of circle $r = \frac{10}{2} = 5$
Area of circle = $3.14 \times 5 \times 5 = 78.5$
Area of rectangle = $6 \times 8 = 48$
Area of shaded region = $78.5 - 48 = 30.5 \text{ cm}^2$
$\therefore$Area of shaded region is $30.5 \text{ cm}^2$
$\therefore$ Radius of circle $r = \frac{10}{2} = 5$
Area of circle = $3.14 \times 5 \times 5 = 78.5$
Area of rectangle = $6 \times 8 = 48$
Area of shaded region = $78.5 - 48 = 30.5 \text{ cm}^2$
$\therefore$Area of shaded region is $30.5 \text{ cm}^2$