Calculating the Area and Circumference of a Circle | Formulas and Examples for Finding the Space Enclosed and the Perimeter

Area and Circumference of a circle

The area of a circle is the measure of the space enclosed within the circle

The area of a circle is the measure of the space enclosed within the circle. It is calculated using the formula A = πr^2, where A represents the area and r represents the radius of the circle. The value of π, pronounced as “pi,” is a mathematical constant approximately equal to 3.14159.

To find the area of a circle, square the radius and then multiply it by π. For example, if the radius of a circle is 5 units, the area can be calculated as follows:

A = π(5^2)
A = π(25)
A ≈ 3.14159(25)
A ≈ 78.54 square units

Therefore, the area of a circle with a radius of 5 units is approximately 78.54 square units.

The circumference of a circle, on the other hand, is the measure of the total distance around the circle. It is calculated using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle.

To find the circumference of a circle, multiply the radius by 2π. For example, if the radius of a circle is 5 units, the circumference can be calculated as follows:

C = 2π(5)
C = 2π(5)
C ≈ 2(3.14159)(5)
C ≈ 31.4159 units

Therefore, the circumference of a circle with a radius of 5 units is approximately 31.4159 units.

More Answers:
Understanding Radians | A Natural and Elegant Unit of Angle Measurement in Math and Trigonometry
Calculating the Length of an Arc | Formulas and Examples
Understanding the Equation of a Circle | A Mathematical Representation of Geometric Features

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