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Ierofanga [76]
3 years ago
6

A rectangle is inscribed in a circle of radius r. if the width of the rectangle is x, what is the height of the rectangle?

Mathematics
1 answer:
user100 [1]3 years ago
3 0

The diagonal of length 2r forms the hypotenuse of a right angled triangle with  one leg ( the width of the rectangle) = x. So by Pythagoras:-

(2r)^2 = h^2 + x^2      where h = height of the rectangle

h^2 = 4r^2 - x^2

h =  √ (4r^2 - x^2)     answer

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