Topic Details (Notes format)

How to Calculate the Circumference of a Circle

Subject: Mathematics

Book: Maths Mastery

The circumference of a circle—the distance around its outer edge—is pivotal in measuring circular objects like wheels, plates, or rings. The formula is C = 2πr (or πd), where r is the radius and d is the diameter. For example, if the diameter is 10 cm, the circumference is π × 10 = 10π cm. This calculation is vital in fields such as manufacturing tires, designing circular pathways, or analyzing circular motion in physics. By pairing circumference with area, you gain a holistic grasp of circle properties essential in academic and real-world tasks.

Practice Questions

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

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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What is the value of log₃(27)?

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

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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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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