Question

2. If side of a square field is 12 m, then what will be the area of shaded region in the given figure. .

a) 30 m^2
b) 30.5 m ^2
c) 30.85 m ^2
d)30.80 m ^2
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :- The side of the square field will be 12 m.

To Find :- Area of the shaded region.

Solution :- So, firstly, we have to find the area of the square field. And, we know that,

Area of Square field = Side × Side cm².

Putting the values in the given formula, we get,

Area of Square field = $12 × 12 cm²$

$\to \: 144 \: {cm}^{2}$

• Now, we got the area of the square field be 144 cm².

Nextly, we have to find the area of the circle, and to do so, we need the radii of the circle. We have been given the side of the square be 12 cm. Hence, we can also denote it as the diameter of the circle. And, radii = $\dfrac{Diameter}{2}$.

Thus, radii of the circle will be $\dfrac{12}{2}$.

$→\dfrac{\cancel{12}}{\cancel{2}}$

$→ 6 cm$

• Thus, radii of the circle will be 6 m.

Now, we have to find the area of the circle, we know that,

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

$→$ Area of circle = $\dfrac{22}{7} × 6 × 6$

$→$ Area of circle = 113.1 cm².

• Thus, the area of the circle will be 113.09734 m²

Finally, we have to subtract Area of circle from Area of square,

• 144 m² - 113.09734 m² = 30.85 m².

$ \sf \red{ Hence, \ area \ of \ the \ shaded \ part \ will \ be \ {\green{30.85}}cm².}$