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?

Guest Mar 15, 2021

#1**0 **

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

euph0ria Mar 15, 2021