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8a The following three shapes are based only on squares, semi circles, and quarter circles. find the perimeter and the area of each shaded parts. Give your answers as completely simplified exact value in terms of pi (no approximations). I NEED THE ANSWER NOW, FIND AREA.

8a The following three shapes are based only on squares, semi circles, and quarter-example-1
User Adk
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2 Answers

11 votes

Final answer:

To find the area of each shaded part, we need to determine the area of each of these shapes and then subtract the non-shaded parts.

Step-by-step explanation:

The shaded parts in the given shapes include squares, semi circles, and quarter circles. To find the area of each shaded part, we need to determine the area of each of these shapes and then subtract the non-shaded parts.

Let's take a specific example. Consider a square with side length 'a', a semi circle with radius 'r', and a quarter circle with radius 'r'. The area of the shaded part would be the area of the square minus the area of the quarter circle minus the area of the semi circle.

Therefore, the formula for the area of the shaded part is: area = a*a - (1/4)*π*r*r - (1/2)*π*r*r

User Asenovm
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9 votes

Answer:

Step-by-step explanation:

The area is 32
\pi-64cm^2

if you look at it, ADC makes a quarter circle and so does ABC, so:

area of a circle:
\pir^2 so

then since it’s a quarter circle, divide by 4 which gives you 16
\pi

and since there are 2 quarter circles 16
\pi(2) gives you 32

then you find the area of the square: 8(8) gives you 64 so to find shaded area subtract 64 from 32
\pi and that’s the answer

User Nsantorello
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