What is a Semicircle?
A semicircle is a two-dimensional shape obtained by dividing the circle into two halves along its diameter. In other words, it is the arc of the circle joining the two endpoints of the diameter. The angle formed by the arc is 180° on one side of the diameter. Some semicircle formulas are :
Area of a Semicircle |
(πr2)/2 |
---|---|
Circumference of a Semicircle |
πr |
Perimeter of a Semicircle |
πr + 2r |
Angle in a Semicircle |
90° |
Central Angle in a Semicircle |
180° |
Semicircle Definition
A semicircle is a geometric figure that represents half of a circle, formed by dividing a circle along its diameter. It consists of a circular arc and its endpoints, connected by the diameter of the original circle.
Semicircle
Semicircle: In mathematics, particularly in geometry, a semicircle is defined as a one-dimensional set of points that make up half of a circle. It is a circular arc spanning 180 degrees, which is equivalent to π radians, or half of a full rotation. Semicircle is a half circle formed by cutting the circle into two halves. It is a circular arc that measures 180°, or π radians, or a half-turn. It only has one line of symmetry, called reflection symmetry.
In this article, we will discuss the concept of a semicircle, including its shape, formula, examples, perimeter, and area.
Table of Content
- What is a Semicircle?
- Semicircle Shape
- Radius of Semicircle
- Properties of Semicircle
- Semicircle Formula
- Semicircle Area
- Circumference of Semicircle
- Semicircle Perimeter
- Angles in Semicircle
- Semicircle Examples
- Practice Problems on Semicircle