Topic Details (Notes format)

How to Calculate the Area of a Circle

Subject: Mathematics

Book: Maths Mastery

The area of a circle is given by the formula A = πr², where r is the radius—the distance from the center to the circumference. If you have a circle with radius 5 cm, its area is π × 5² = 25π cm². In practical terms, you might need to measure the space a circular rug covers or the cross-sectional area of a circular pipe. Knowing how to apply A = πr² is foundational in geometry, engineering, and architecture. Pairing this knowledge with circumference or volume formulas further expands your capability to handle circular shapes in diverse projects and daily scenarios.

Practice Questions

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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What is the sum of all even numbers between 1 and 100?

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What is the square root of 121?

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What is the greatest common divisor (GCD) of 36 and 48?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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