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Pls answer giving 100 points

Pls answer giving 100 points-example-1

1 Answer

11 votes

Answer:

A = (81 - 20.25π)cm²

P = (18 + 9π)cm

Explanation:

Since the answer asks for the exact value, we will keep π as itself to ensure there is no rounding off errors.

Firstly, finding the area A.

> Putting both semicircles together, you will get a full circle. Hence, finding the area only requires you to subtract the circle off the square.

>Also, the radius of the circle is
(9)/(2)=4.5.

Thus,


A=9^(2) -(\pi *4.5^(2) )\\A= 9^(2)-20.25\pi\\A= (81-20.25\pi)cm^(2)

Next, finding the perimeter B.

>Again, combining both arcs of the shaded figure together, we form a circumference of the circle.

Thus,


P = 2(9) + (2*\pi *4.5)\\=(18+9\pi )cm

User Ratul
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