SOLUTION: O is the centre of a circle. Angle AOB is a right angle and chord AB = 10cm. Find the radius of the circle (2dps) and calculate the exact value of the shaded area if pi = 3. Tha

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Question 1007735: O is the centre of a circle. Angle AOB is a right angle and chord AB = 10cm. Find the radius of the circle (2dps) and calculate the exact value of the shaded area if pi = 3.
Thanks!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
O is the centre of a circle. Angle AOB is a right angle and chord AB = 10cm. Find the radius of the circle (2dps) and calculate the exact value of the shaded area if pi = 3.
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The bisector of AB thru O --> 2 isosceles right triangle. Label the midpoint of AB point D, the intersection with the distal side of the circle F, and the near side of the circle E.
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OD = 5 cm
DF = r + 5
DE = r - 5
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AB*BD = DF*DE
5*5 = (r+5)*(r-5)
r^2 - 25 = 25
r^2 = 50
r = 5sqrt(2) cm
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idk where the shaded area is.
I do know pi <> 3, despite what the bible says.