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# help

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A rectangular piece of paper with length 35 cm and width 16 cm has 2 Semi Circle cut outs of it as shown below find the area of the paper that remains use the value 3.14 and do not round your answer be sure to include the correct unit in your answer

Apr 18, 2020

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For this question, you need to calculate the area of the rectangle first and then subtract the 2 semicircles.

Rectangle Area: 35*16 = 560

Semicircle's area: the formula is: $$\frac{2\pi r}{2}$$, we already know the radius is 16/2=8 cm. So, the area is 8*2/2pi = 8pi. Since there are 2 semicircles, we multiply this by 2, and we get 16 pi for both of the circles.

So, the answer is $$560-16\pi$$. In the question, it says to use 3.14 for pi, so 560-16(3.14) = $$\boxed{509.76}.$$

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Apr 18, 2020