Diameter of Circle Formula
The diameter formula may be derived from the circle’s circumference, area, and radius.
Diameter of a Circle Using Circumference
The diameter of the circle using the circumference of the circle is calculated by the formula discussed below,
d = C ÷ π [As C = πd]
Where,
- C is the Circumference of the Circle,
- d is the Diameter of a Circle, and
- π is constant and its value is 22/7 or 3.142.
Check: Perimeter of the circle
Diameter of a Circle Using Radius
The radius of a circle is the distance between the circle’s middle point and its circumference. The radius is symbolized by the lowercase letter r. The radius of the circle is twice the radius of the circle. Using this concept, the diameter formula is
d = 2r
Where,
- r is radius of the circle, and
- d is Diameter of the circle.
Diameter Formula Using Area of Circle
We may calculate the diameter of a circle using the area of a circle formula. The Area of a circle is symbolized by the uppercase letter A. The following is the equation to determine a circle’s area:
A = πr2
⇒ A = π(d ÷ 2)2
⇒ A = (π x d2) ÷ 4
⇒ d2 = 4A÷ π
d = 2√A÷ π
Where,
- A is the Area of a circle,
- d is the Diameter of a circle, and
- π is the constant and its value is 22/7 or 3.142.
As a result, there exist three formulas for calculating the diameter of a circle:
- d = 2r
- d = C ÷ π
- d = 2√(A)÷ π
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.