Question

in the adjoining figure, the length of the rectangle is 28cm. find the area of shaded region.....
the answer is 10.5cm......but how...

Answer 1

Solution :-

There are two tangential circles inscribed in a rectangle. The length of the rectangle is 28 cm, which is given in the question.

If the rectangle is halved into two parts along its length then it will look like 2 squares having length 14 cm of each of their respective sides. 

The diameter of the each of the 2 circles will also be 14 cm.

First, we will find the area of square.

Area of the square = (Side)²

⇒ 14*14

⇒ 196 sq cm

Now, we will find the area of circle. 

Diameter of circle = 14 cm 

Radius = 14/2 = 7 cm

Area of circle = πr²

⇒ 22/7*7*7

⇒ Area of the circle = 154 sq cm 

Now, area of the shaded part = 1/4 × (Area of the square - Area of the circle)

⇒ 1/4 × (196 - 154)

⇒ 1/4 × 42

⇒ 42/4

⇒ 10.5 sq cm

So, the area of the shaded region is 10.5 sq cm

Answer.

Answer 2

there is rectangle and two circle drwan between it and length of rectangle is 28 cm divide it by 2 = 14 so i think 14 is the right answer