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

What is the length of the diagonal of a square with a side length of 7 cm?

View Question

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

If a person can type 45 words per minute, how many words can they type in 2 hours?

View Question

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

View Question

What is the square root of 121?

View Question

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question

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

View Question

What is the slope of a line passing through the points (2, 3) and (4, 7)?

View Question

What is the probability of drawing a king from a standard deck of 52 playing cards?

View Question

A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

View Question