Question

Q13.Find the area of shaded portion in the figure if AB = 6cm and BC= 8cm. Where ABCD is a rectangle.​

Answer 1

Answer hope it's helpful for you

Answer 2

Given :–

• ABCD is a rectangle.
• Length = AB = 6cm
• Breadth = BC = 8cm

To Find :–

• Area of shaded portion.

Solution :–

First, we need to find the radius of a circle.

So,

First, we find the diagonal.

So,

Diagonal of a rectangle = √b² + l²

• l = 6cm
• b = 8cm

⟹ √(8)² + (6)²

⟹ √64 + 36

⟹ √100

⟹ 10cm

So,

Radius of circle = $\dfrac{d}{2}$

⟹ $\dfrac{\cancel{10}}{\cancel2}$

⟹ 5cm

• r = 5cm

Now,

Area of a circle = πr²

⟹ $\dfrac{22}{7}$ × (5)²

⟹ $\dfrac{22}{7}$ × 5 × 5

⟹ 3.14 × 5 × 5

⟹ 15.7

⟹ 78.5cm

• Area of a circle = 78.5cm

Now, area of a rectangle = l × b

• l = 6cm
• b = 8cm

⟹ 6 × 8

⟹ 48cm

• Area of rectangle = 48cm

Now, we need to find the area of shaded portion.

Area of shaded portion = Area of a circle – Area of a rectangle

⟹ 78.5 – 48

⟹ 30.5cm

Hence,

The area of the shaded portion is 30.5cm.