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

If the probability of an event is 1/4, what is the probability of its complement?

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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 x:y = 4:5 and y:z = 2:3, what is x:z?

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

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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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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A car travels 240 km in 4 hours. What is its average speed?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If 8x = 512, what is the value of x?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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