Enter the radius into the calculator to determine the area of a quarter circle. This calculator can also evaluate the radius given the area is known.

## Area Of Quarter Circle Formula

The following formula is used to calculate the area of a quarter circle.

A = (π * r^2) / 4

Variables:

- A is the area of the quarter circle (square units) π is a constant whose approximate value is 3.14159 r is the radius of the circle (units)

To calculate the area of a quarter circle, square the radius of the circle and multiply it by π. Then, divide the result by 4.

## What is an Area Of Quarter Circle?

An area of a quarter circle is a measure of the surface of a quarter section of a circle. It is calculated by taking the area of the whole circle (which is given by the formula πr², where r is the radius of the circle) and then dividing it by 4, since a quarter circle is one-fourth of a whole circle. This gives the formula for the area of a quarter circle as (πr²)/4.

## How to Calculate Area Of Quarter Circle?

The following steps outline how to calculate the Area of a Quarter Circle.

- First, determine the value of π (approximately 3.14159).
- Next, determine the value of the radius (r) of the circle (units).
- Next, square the value of the radius (r^2).
- Multiply the squared radius (r^2) by π.
- Finally, divide the result by 4 to calculate the Area of the Quarter Circle (A).

**Example Problem:**

Use the following variables as an example problem to test your knowledge.

π ≈ 3.14159

radius (r) = 5 units