Examples on Circle Formulas
Example 1: Determine the area of a circle having a radius of 8 units.
Solution:
Given:
- Radius (r) = 8 units
Using Area of a Circle Formula: A = πr2
Substituting radius values: A = π(8)2
A = 64π square units
Thus, the area of a circle is 64π square units
Example 2: Calculate the circumference of a circle with a radius of 8 cm.
Solution:
Given:
- Radius (r) = 8 cm
To calculate circumference, use the formula C = 2πr
⇒ C = 2 x 3.14159 x 8
⇒ C = 50.265
Thus, circumference of circle is 50.265 cm.
Example 3: Using the perimeter of a circle formula, calculate the radius of a circle with a circumference of 70 in.
Solution:
Given:
- Circumference = 70 in
Using Perimeter of a Circle Formula = 2πr
2πr = 70
2 × 22/7 × r = 70
r = 70 × 7 / 44
r = 11.136 inches
Radius of the circle = 11.136 in
Circle Formulas For Diameter, Area and Circumference
Circle formulas are basic formulas used in geometry to solve various problems of circles and are used in solving various mathematical and other problems. Before moving with various circle formulas one must familiarise with the basic definition of a circle. “A circle is a basic geometrical shape in which all points on the circumference of the circle are equidistant from the centre of the circle.”
In this article, we will learn about various circle formulas their uses and others in detail.
Table of Content
- Circle Formulas
- Parts of a Circle
- What are Circle Formulas?
- Properties of Circle
- List of All Circle Formulas
- Examples on Circle Formulas