The radius of a circle is equal to the side of a square whose area is (196 cm^2). The length of the rectangle is twice the diameter of the circle. If breadth of the rectangle is half the length what is the area of the rectangle?
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$3136 cm2$
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$2352 cm2$
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$1568 cm2$
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$784 cm2$
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None of these
C
Correct answer
Explanation
Area of square = 196 cm², so side = √196 = 14 cm. This equals the radius of the circle. Diameter = 2 × radius = 28 cm. Length of rectangle = 2 × diameter = 56 cm. Breadth = length/2 = 28 cm. Area of rectangle = length × breadth = 56 × 28 = 1568 cm². Option C is correct.