Semicircle Examples
Some examples related to semicircle are,
Example 1: Find the perimeter of semicircle if diameter of semicircle is 4cm.
Solution:
Given,
- d = 4 cm
Perimeter of Semicircle(P) = (πr + d)
r = d / 2 = 4/2 = 2 cm
P = (2π + 4) cm
P = 2(π + 2) cm
P = 10.28 cm
Example 2: Find the area of semicircle with radius 5 cm.
Solution:
Given,
- Radius = 5 cm
Area of Semicircle(A) = [πr2] / 2
A = [π(5)2]/2
A = [25π]/2
A = 39.25 cm2
Example 3: Find the circumference of semicircle if the diameter of semicircle is 8 cm.
Solution:
Diameter(d) = 8 cm
Circumference of Semicircle(C) = πr
Radius of Semicircle(r) = d / 2 = 8 / 2 = 4 cm
C = π(4)
C = 12.56 cm
Example 4: Find the diamter of semicircle whose area is 157cm2.
Solution:
Given,
- Area of Semicirlce = 157 cm2
Area of Semicircle = [πr2] / 2
157 = [πr2]/2
314 = [πr2]
r2 = 314/π
r2 = 314/3.14
r2 = 100
Radius of Semicircle(r) = 10 cm
Example 5: Find the radius if the circumference of semicircle is 314 cm.
Solution:
Given,
- Circumference(C) = 314 cm
Circumference of Semicircle = πr
Radius of semicircle(r) = 314/3.14
r = 100 cm
Example 6: The radius of semicircle is given 2 cm find its perimeter.
Solution:
Given,
- Radius of Semicircle(r) = 2 cm
Perimeter of Semicircle(P) = r[π + 2]
P = 2[π + 2]
P = 10.28 cm
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