How To Find Diameter Of a Circle In 3 Easy Ways
Are you struggling to find out the easy method of calculating the diameter in mathematics? If so, you are at the right place; in this article, we have shared the complete process along with formulas and examples on how to find diameter of a circle.
What is the Diameter of a Circle?
The diameter of a circle is the largest line segment of the circle passing through the center of the circle. In simple words, the diameter of the circle is the line that connects one point on the circle to another while passing through the circle’s center.
How to Find Diameter of a Circle?
If the radius of a circle is given, you can easily find the diameter of a circle; here is how to do so:
The Formula for finding the diameter is:
D=2×r
In this Formula, the diameter equals twice of radius of a circle.
Now place the value of the given parameter in this Formula and simplify it to get the diameter of a circle.
For example, the radius of a circle is 10cm; we multiply the radius by 2 to get the diameter.
The radius of a Circle = 10 cm
Diameter of a Circle = 2 Radius
D = 2 10 = 20 cm
So, the diameter of a circle is 20 cm.
How to Find the Diameter of a Circle without Radius?
If the radius of the circle is not mentioned, how do we calculate the diameter of a circle? In that case, we use the Circumference or area of a circle to find the diameter.
- Calculate the Diameter of a Circle With the Circumference of a Circle
As we know, the Circumference of the circle is equal to 2πr. To find the diameter of a circle, we have to replace 2r by d as d = 2r. Therefore, the Circumference of the circle in means of diameter is given by:
In this Formula, D stands for the diameter of a circle, and C stands for the Circumference of the circle. Where the value of is 3.14, as always.
For Example
If the Circumference of the circle is 15 cm, then we divide the Circumference with the value of π.
Circumference of a Circle = 15 cm
Diameter of a Circle = C ÷ π
The value of Pi (π) is 3.14.
D = 10 ÷ 3.14 = 3.18 cm.
Thus, the diameter of a circle is 3.18 cm.
- Calculate the Diameter of a Circle With the Area of the Circle
The area of a circle is equal to πr2. To find the diameter of the circle, we have to replace r with D ÷ 2 as D=2r. Therefore, the area of a circle in means of diameter is mentioned below:
Area of a Circle= π×(D/2)2
D = 2√(A/π)
To calculate the diameter of a circle, we divide the area of the circle with the value of π and find its square root to get the radius of a circle, then multiply by 2 to obtain the diameter.
For Example
If the area of the circle is 18cm, divide it by the value of Pi and find the square root.
Area of a Circle = 18 cm
Diameter of a Circle = D = 2√(A/π)
The value of Pi (π) is 3.14.
D = 2( √18)/3.14 = √5.732
D = 2.866 ×2=5.732cm
So, the diameter of a circle is 5.732 cm.
Sum Up
In this article, we have shared an easy and quick method how to find diameter of a circle with formulas and examples. In geometry, finding a diameter of any shape is easy when the radius of a shape is given. However, with the help of this guide you can easily determine the diameter of any shape with or without knowing the radius.
