SOLUTION: The radius of the semi-circle centre O is 5cm. A square is fitted into the semi-circle as shown in the diagram. Calculate the area of the square
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Question 1177700: The radius of the semi-circle centre O is 5cm. A square is fitted into the semi-circle as shown in the diagram. Calculate the area of the square Answer by mananth(16946) (Show Source):
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refer drawing , the side of the square on the diameter is symmetric from the centre,
sides of square are 2x each, The diagonal is the radius, = 5 cm. It is a right triangle.
x^2+(2x)^2=5^2=25 ( Pythagoras theorem)
5x^2=25
x^2=5
x= sqrt(5) cm.
2x= 2sqrt(5) cm.
The area of the square is
.
