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 circle with a diameter of 14 cm?

View Question

If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

View Question

What is the length of the diagonal of a square with a side length of 7 cm?

View Question

A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

View Question

How many diagonals does a pentagon have?

View Question

If a:b = 5:7 and b:c = 6:11, what is a:c?

View Question

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

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

View Question

If 2x = 16, what is the value of x?

View Question

If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

View Question