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 x + 1/x = 5, what is the value of x^2 + 1/x^2?

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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 a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If x^2 - 5x + 6 = 0, what are the roots?

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What is the sum of all angles in a hexagon?

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What is the sum of all even numbers between 1 and 50?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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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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The sum of the squares of two consecutive integers is 145. What are the integers?

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What is the area of an equilateral triangle with side length 10 cm?

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