Relation between Inradius and Perimeter of Triangle
A rectangle w...
Question
A rectangle with one side equal to 6 cm is inscribed in a circle of radius 5 cm. Then what is the area of the rectangle?
A
36cm2
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B
42cm2
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C
48cm2
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D
54cm2
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Solution
The correct option is C48cm2 Since the radius is 5, the diameter is 10. A diagonal for the rectangle is equal to this diameter. We have a triangle with side lengths of 10 and 6. 10 is the hypotenuse. Set x = the length of the other side of the triangle. so 62+x2=102 36+x2=100 x2 = 64 x = 8 We have side lengths of 6 and 4 so the area = 6×8 = 48 sq. cm