SOLUTION: The coin is in the shape of a circle of radius 3 cm with a square of sides x cm removed from its centre. The area of each face of the coin is 7pi cm^2. i) form an equation in x a

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Question 1113073: The coin is in the shape of a circle of radius 3 cm with a square of sides x cm removed from its centre. The area of each face of the coin is 7pi cm^2.
i) form an equation in x and show that it reduces to 2pi-x^2=0.
ii) solve the equation 2pi-x^2=0.
iii) find the perimeter of the square

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The coin is in the shape of a circle of radius 3 cm with a square of sides x cm removed from its centre.
The area of each face of the coin is 7pi cm^2.
i) form an equation in x and show that it reduces to 2pi-x^2=0.
pi%2A3%5E2+-+x%5E2 = 7%2Api
9pi+-+x%5E2 = 7pi
9pi+-+7pi+-+x%5E2+=+0
2pi+-+x%5E2 = 0
:
ii) solve the equation 2pi-x^2=0.
x%5E2+=+2pi
x = sqrt%282pi%29
:
iii) find the perimeter of the square
p = 4sqrt%282pi%29