Radius of Semicircle
The line segment joining the center of the semicircle to the circumference of the semicircle is called its Radius. In the image added above, OA and OB are radius of semi-circle and OA = OB (r).
Diameter of Semicircle
The line segment joining two points on the circumference of semicircle and passing through the center of the semicircle is called its diameter. A semicircle has one diameter only. In that image added above, AB is the diameter (d) of the circle.
Centroid of Semicircle
Centroid of any closed figure is a point that lies in the middle of the figure, be it centroid of a triangle or any other closed figure. Hence, Centroid of a Semicircle is a point that lies exactly in the middle of the semicircle along the vertical radius of the semicircle.
Let us consider if the center of the semicircle is placed at the origin then x = 0 and from definition we know that centroid of semicircle lies along vertical axis i.e. along the y-axis. In such case the centroid will lie at y = 4r/3π distance from the origin.
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