Question

In figure, Find the area of the shaded Region [ Use pi = 3.14 ]​

Answer 1

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Here is your answer..

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In the gives sq.

Find BD -------by pythagoras theorem

Then,

Radius of the circle = BD/2

Required area = area of circle (r=BD/2)- area of sq.

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Answer 2

Area of shaded part is 30.5 cm².

Given:

• A figure.

To find:

• Area of shaded figure.

Solution:

Concept to be used:

Area of shaded part= Area of circle-Area of rectangle.

Area of circle=$\bf \pi \: {r}^{2}$

Area of rectangle $\bf =l\:\times\:b$

Diagonal of rectangle $= \bf \sqrt{l^2+b^2}$

Step 1:

Find the area of the rectangle.

Length (AB)= 8 cm

Breadth (AD)= 6 cm

Area of rectangle $=48\:cm^2$

Thus,

Area of rectangle 48 cm².

Step 2:

Find the area of the circle.

Diameter of circle= Diagonal of rectangle

Diameter of circle$=\sqrt{64+36} \: cm$

Diameter of circle= 10 cm

So,

Radius of circle=5 cm

Now,

Area of circle$= 3.14 \times ( {5 )}^{2}$

$= 3.14 \times\:25$

Area of circle$\bf = 78.5 \: {cm}^{2}$

Thus,

The area of the circle is 78.5 cm².

Step 3:

Find the area of the shaded region.

Area of shaded region$= 78.5 - 48$

$= 30.5 \: {cm}^{2}$

Thus,

Area of the shaded part is 30.5 cm².

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