SOLUTION: A square is inscribed in a circle. If the length of the diagonal of the square is 6.4 cm, What is the area of the shaded region.( The shaded region is inside the circle ad outside

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Question 178647: A square is inscribed in a circle. If the length of the diagonal of the square is 6.4 cm, What is the area of the shaded region.( The shaded region is inside the circle ad outside the square box.)

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A square is inscribed in a circle. If the length of the diagonal of the square is 6.4 cm, What is the area of the shaded region.( The shaded region is inside the circle ad outside the square box.)
:
find the area of the circle, subtract the area of the square
:
circle, r = 3.2 cm
A = pi*3.2^2
A = 32.167 sq cm
;
Find the dimensions of the square:
2s^2 = 6.4^2
2s^2 = 40.96
s^2 = 20.48, which is the area of a square
:
32.167 - 20.48 = 11.69 is the shaded area

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