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

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Solution :-

There are two tangent 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 = πr^2

= 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

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Answer 2

Answer:

Here is the answer ......