Answer:
1/3
Step-by-step explanation:
Answer:
84 square inches
Step-by-step explanation:
Consider the <em>k</em>-th partial sum,

More compactly,

(this is just another case of a similar sum you asked about a while ago [24494877])
The infinite sum is the limit of the partial sum as <em>k</em> goes to infinity. We have

since the non-constant terms in the limit converge to 0.
Alternatively, recall that for |<em>x</em>| < 1, we have

Differentiating both sides gives

also valid for |<em>x</em>| < 1. Take <em>x</em> = 1/<em>π</em> and you get the sum you want to compute.
Area of square = 8^2 = 64
Area of circle = pi x r^2 = 3.1415 x 4^2 = 50.27
64 - 50.27 = 13.73
answer
area inside square but outside circle = 13.7 in^2 (it's C.)