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# Pretty please, help!

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The diagram shows a circle of radius 1 contained in a square. If the area of the circle equals x% of the area of the square, then what is x rounded to the nearest integer?

Mar 15, 2021

#1
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the area of the circle is simply $$1^2 \cdot \pi = \pi$$, and the area of the square would be $$(1 \cdot 2)^2 = 2^2 = 4$$.

the area of the circle / the area of the square would be $$\frac{\pi}{4}$$. because we are calculating the percentage, we should multiply the numerator and the denominator by 25, so that the denominator would be 100.

for this question, i will round $$\pi$$ to 3.14.

$$3.14 \cdot 25 = 78.5$$, and rounding that to the nearest integer, the answer would be ~ 79%.

hope this helped! please let me know if you have any questions

Mar 15, 2021
#2
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Thanks!

Guest Mar 15, 2021