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

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

View Question

What is the value of x if 3x + 7 = 16?

View Question

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

View Question

If the sum of the squares of two consecutive positive integers is 365, what are the integers?

View Question

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

View Question

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

View Question

If the length of a rectangle is doubled and the width is halved, what is the change in area?

View Question

What is the probability of drawing an ace from a standard deck of 52 cards?

View Question

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

View Question

If the perimeter of a square is 36 cm, what is the length of its diagonal?

View Question