Solved Examples on Diameter of a Circle
Example 1: Determine the diameter of a circle with a radius of 8 units.
Solution:
Given,
Radius of the circle = 8 units
Diameter of the Circle = 2 × Radius
⇒ D = 2 × 8 = 16 units
Thus, the diameter of the circle is 16 units.
Example 2: Sham used a rope to form a circle. The circle’s circumference is 628 cm. Assist him in determining the diameter of the circle.
Solution:
Given, Circumference = 628 cm
d = C ÷ π
⇒ d = 628 ÷ 3.14
⇒ d = 20
Thus, the diameter of Sham’s rope circle is 20 cm.
Example 3: A circle has a surface area of 22.54 square cm. Determine the circumference of the circle.
Solution:
Given,
Area = 22.54 cm2
A = (π × d2) ÷ 4
⇒ 22.54 = (3.14 × d2 ) ÷ 4
⇒ 90.16 = 3.14 × d2
⇒ 28.71 = d2
⇒ √(28.71 )= d
⇒ 5.36 = d
Thus, the circle’s diameter is 5.36 cm.
Diameter of a Circle
Diameter of a Circle is a line that travels through the centre and intersects the circumference at opposing ends. In other terms, the diameter of a circle is the line that goes through its centre and splits it into two equal sections. A circle’s diameter is any straight line segment that travels through the centre of the circle and has endpoints on the circle’s perimeter. The circle’s diameter is referred to as its longest chord.
Table of Content
- What is Diameter of a Circle?
- Diameter of a Circle Definition
- Diameter Symbol
- Diameter of Circle Formula
- Diameter of a Circle Using Circumference
- Diameter of a Circle Using Radius
- Diameter Formula Using Area of Circle
- How to Find Diameter of a Circle?
- Relationship between Radius and Diameter of Circle
- Solved Examples on Diameter of a Circle
In this article, we will learn more about the diameter definition, the diameter formula, and how to calculate the diameter of a circle.