MAH MCA CET 2025
A pendulum swings through an angle of and describes an arc of in length. Find the length of the pendulum.
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Answer: Option B —
Detailed Solution
Use with in radians: .
.
✓ Check
.⚠ Common trap
Putting (degrees) into gives cm; the angle must be in radians.
Quick tip
, in radians
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Ask a doubtMore Basic Mensuration Questions
View all ›- Q1.A pendulum swings through an angle of and describes an arc of in length. Find the length of the pendulum.
- Q2.Two cubes each of volume are joined end to end. Find the surface area of the resulting cuboid.
- Q3.A circular wire of radius is cut and bent to lie along the circumference of a hoop of radius . Find (in degrees) the angle subtended at the hoop’s centre.
- Q4.A circular wire of radius is cut and bent to lie along the circumference of a hoop of radius . Find (in degrees) the angle subtended at the hoop's centre.
- Q5.Two circles touch externally. The sum of their areas is sq. cm and the distance between their centres is 14 cm. Find the radii of the circles.
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Basic Mensuration — Preparation
This question tests your understanding of Basic Mensuration, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Basic mensuration deals with the perimeter and area of two-dimensional shapes: squares, rectangles, triangles, parallelograms, rhombuses, trapeziums, circles, sectors and rings. Exam questions test direct use of formulas, the effect of changing dimensions (for example, what happens to the area of a circle when its radius increases by 10%), paths running inside or outside a rectangular field, and the cost of fencing, flooring or painting. Knowing the formulas thoroughly is essential, and ratio reasoning makes questions on changing dimensions quick to solve. Remember that when every length is multiplied by k, the area is multiplied by k^2. Heron's formula for a triangle's area from its three sides and the area of an equilateral triangle, (sqrt 3 / 4) a^2, are worth memorising. Three-dimensional solids are covered separately on the Volume & Surface Area page. Practise the mensuration questions below on area and perimeter, each with a step-by-step solution.