Question

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.

Q: The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are

Let the length and breadth of the rectangle be 10x cm and 11x cm, respectively According to the question, 10x × 11x = 13310 => x 2 = 13310/110 = 121 => x = 11 Therefore, perimeter of the rectangle = 2 × (10x + 11x) = 462 cm Let the radius of the circle be ‘r’ cm According to the question, 2πr = 462 Or, r = 462 × (7/44) = 73.5 cm

A 73.5 cm

B 52.5 cm

C 59.5 cm

D 38.5 cm

Download PDF Practice Next

Relevant for Exams:

SSC CGL

Question

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.

Solution

Relevant for Exams:

I Pledged to:

Question

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.

Solution

Relevant for Exams:

I Pledged to:

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.