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- Subject
- Mensurationmathematics-mcqs › mensuration
- Published
- 10 Jul 2019
- Last updated
- 28 May 2026
Explanation
First, find the side length of the square: √196 = 14 cm. Since this side is half the radius of the larger circle, the radius of the larger circle is 2 × 14 = 28 cm. The radius of the smaller circle is (3/7) × 28 = 12 cm. The circumference of the smaller circle is 2π × 12 = 24π cm.
More Mensuration MCQs
Practice related questions from the same subject.
- 1.A carpet was ordered with its length and width in the ratio 3:2. Later, the dimensions were changed so that the length and width were in the ratio 7:3, while the perimeter remained unchanged. What is the ratio of the areas of the carpet before and after the modification?
- 2.A circle has a radius of 21 cm and a central angle measuring 135°. What is the perimeter of the corresponding sector?
- 3.A rectangle's length is two-fifths of the radius of a circle. The radius of this circle is equal to the side length of a square whose area measures 1225 square units. If the rectangle's breadth is 10 units, what is its area in square units?
- 4.Calculate the area of a rhombus with each side measuring 25 cm and one diagonal equal to 30 cm.
- 5.If the volumes of two cubes are in the ratio 729 to 1331, what is the ratio of their total surface areas?
- 6.A metal sphere with a radius of 12 cm is melted and reshaped into a cylindrical wire having a cross-sectional radius of 16 cm. What is the length of this wire?
- 7.Two cones have their volumes in the ratio 1 to 10, while their radii are in the ratio 1 to 2. What is the ratio of their heights?
- 8.A wheel has a radius of 22.4 cm. How far will the wheel travel after completing 500 full rotations?
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