Topic Details (Notes format)

How to Calculate the Perimeter of a Semicircle

Subject: Mathematics

Book: Maths Mastery

A semicircle is half a circle, but its perimeter (also called its “circumference” boundary) includes the diameter and half the circle’s circumference. The formula is P = πr + 2r if using r for the radius, or P = (πd / 2) + d if using d for the diameter. For instance, a semicircle with radius 5 has perimeter π × 5 + 2 × 5 = 5π + 10. This knowledge helps in designing curved edges for arcs, gates, or semicircular frames. Understanding partial circle perimeters extends to advanced shapes and real-world designs with circular segments.

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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If the perimeter of a square is 40 cm, what is the area of the square?

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What is the value of x if log(x) + log(4) = log(32)?

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If the sum of three consecutive integers is 72, what are the integers?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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

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The area of an equilateral triangle with side length 6 cm is:

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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