Can you explain ? i’m kind of in a crunch

The 7 cm side of the rectangle also serves as the radius of the circle

The problem wants us to take the area of the rectangle and subtract it by each of the 3 semicircles

The area of a full circle is:

SEMICIRCLE:

So the area of a semicircle is half of that:

All 3 of these semicircles have the same area so once we find the area of one, all we have to do it multiply it by 3:

The area of one semicircle is 38.465 so 3 of them would be 115.395cm

RECTANGLE:

The area of a rectangle is equal to length • width

The width is given as 7cm and we can find the length by remembering that the radius of each semicircle is 7cm and since there are 3 semicircles we know the length of the rectangle is 21 cm

Making the area of the rectangle 7cm • 21cm which equals 147cm

Now we take 147cm and subtract it by 115.395cm and we are left with 31.605cm^2 I believe

My Best Guess: 31.605cm ^2

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