Area of Quarter Circle given Radius Calculator

Calculate Area of Quarter Circle given Radius



Formula

The formula to calculate the Area of a Quarter Circle given Radius is:

\[ A = \frac{\pi r^2}{4} \]

Where:

Definition

The Area of a Quarter Circle is the total quantity of plane enclosed by the boundary of the Quarter Circle.

The Radius of a Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

How to calculate the Area of a Quarter Circle given Radius

Let's assume the following value:

Using the formula:

\[ A = \frac{\pi \cdot 5^2}{4} \]

Evaluating:

\[ A = \frac{\pi \cdot 5^2}{4} \]

The Area of the Quarter Circle is approximately 19.6349540849362 Square Meter.

Area of Quarter Circle given Radius Conversion Chart

Radius of Quarter Circle (Meter) Area of Quarter Circle (Square Meter)
4 12.566370614359172
4.5 15.904312808798327
5 19.634954084936208
5.5 23.758294442772812
6 28.274333882308138