The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer Select the correct option
A) 42	B) 24	C) 36	D) 48	E) 60
If we consider all pythagorean triplets with integral values, we have the following results:-   (3,4,5),(6,8,10)........   The diameter of the circle is 5 in the 1st case and 10 in the 2nd.   But the question says that radius of the circle is also an integer hence the 1st triplet will be ruled out.   We are left with the 2nd triplet where radius of the circle=5,   Hence the sides of the rectangle are 6 and 8 making the area =42.   42
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The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer