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A square is inscribed in a circle as shown. If the side length of the square is 16 feet, calculate the area of the shaded region to the nearest tenth.

A square is inscribed in a circle as shown. If the side length of the square is 16 feet-example-1
User Jazzer
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1 Answer

16 votes
16 votes

Answer:

probably 145.15ft^2 but who really knows good luck

Explanation:

we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2

User Paul Sturm
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