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A circle of radius 1 unit has an equilateral triangle PQR inscribed in it.

The points S and T are points on the circle such that QRST is a rectangle.

The area, in square units, of the rectangle is what?

 

 Jul 2, 2020
 #2
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triangle side     a =  √ [ A / (√ 3)/ 4)]

 

circle radius     r = [a/2 * tan(30º)] * 2

 

rectangle area    A = a * r    smiley

 Jul 3, 2020

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