The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 10:11, respectively. If the area of the rectangle is 13310 cm2 , then find the radius of the circle.
A73.5 cmCorrect AnswerIncorrect Answer
B52.5 cmCorrect AnswerIncorrect Answer
C59.5 cmCorrect AnswerIncorrect Answer
D38.5 cmCorrect AnswerIncorrect Answer
Solution
Let the length and breadth of the rectangle be 10x cm and 11x cm, respectively
According to the question,
10x × 11x = 13310
=> x2 = 13310/110 = 121
=> x = 11
Therefore, perimeter of the rectangle = 2 × (10x + 11x) = 462 cm