Math, asked by nr789nisha, 1 year ago

find the shaded region?

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Answers

Answered by Grimmjow
1

We know that Area of Circle is given by : πr²

⇒ Area of Semi-Circle :  \frac{\pi r^2}{2}

Given : The Radius of Bigger Semi-Circle = 20 cm

⇒ Area of Bigger Semi-Circle :  \frac{\pi\times20^2}{2} = 200 \pi

Given : The Radius of Smaller Semi-Circle = 7 cm

⇒ Area of Smaller Semi-Circle : \frac{\pi\times7^2}{2} = 24.5 \pi

As there are Two Smaller Semi-Circles in the Given Diagram

⇒ Area of Two Smaller Semi-Circles : 24.5π × 2 = 49π

⇒ Area of Shaded Region = Area of Bigger Semi-Circle + Area of Two Smaller Semi-Circles

⇒ Area of Shaded Region : 200π + 49π = 249π

⇒ Area of Shaded Region :  \frac{249\times22}{7} = 782.57\;cm^2

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nr789nisha: the answer is wrong.
nr789nisha: correct ans is 462 cmsq
Answered by jfandrew26Jfandrew26
0

Answer:

Step-by-step explanation:

Ar of the semi circle is 1/2×22/7×20×20=628.57

Ar of th small semi circle is 1/2×22/7×20/2×20÷2×2=314.28

= 942.85

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