Question

In figure, ABCD is a

square of side 28cm. With

centers A, B, C and D each

circle touch externally two

of the remaining three

circles. Find the area of

the shaded region.​

Answer 1

Step-by-step explanation:

where is figures A,B,C,D friend

Answer 2

Step-by-step explanation:

Given:In figure, ABCD is a square of side 28cm. With centers A, B, C and D each circle touch externally two of the remaining three circles.

To find: Find the area of the shaded region.

Solution:

Step 1: Find Area of square.

We know that area of square=$( {side)}^{2}$

Side= 28 cm

Area$= 28 \times 28$

Area of square $\bf = 784 \: {cm}^{2}$

Step 2: Find Area of circle.

It is clearly visible that all circles are equal( because all have same radius).

All the angles of square are right angles.

So, one quadrant of each circle lies in the square.

and 4 quadrant of 4 equal circles forms one complete circle.

We know that area of circle is given by $= \pi \: {r}^{2}$

r=14 cm

See the attached figure.

Area of circle$= \frac{22}{7} \times 14 \times 14$

Area of circle$= 22 \times 2 \times 14$

Area of circle$\bf = 616 \: {cm}^{2}$

Step 3: Area of shaded region.

Area of shaded region$= 784 - 616$

Area of shaded region$\bf = 168 \: {cm}^{2}$

Final answer:

Area of shaded region is 168 cm².

Hope it will help you.

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