A circle circumscribes a rectangle whose sides are in the ratio of 4: 3. If the area of the rectangle is 192 cm², then the perimeter (in cm) of the circle is:
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 20 π.
Sides = 4x, 3x ⇒ Area = 12x2 = 192 ⇒ x = 4
Sides = 16, 12 ⇒ Diagonal = √(162 + 122) = √400 = 20 (diameter)
Perimeter = 2πr = 2π × 10 = 20π cm