Quarter Circle Area Calculator

How to find the area of a quarter circle? This calculator can help! It allows you to easily compute the area by entering the radius.

How to Use the Calculator

To use this calculator, you need to provide the radius of the circle. Here’s how:

Enter the Radius: Type the radius into the calculator. For example, enter 5 to find the area of a quarter circle with a radius of 5 units.

This calculator quickly finds the area of a quarter circle. A quarter circle is a quarter of a full circle. The calculator uses a specific formula to compute the area.

Formula

The formula for the area of a quarter circle is:

A = \frac{π \times r^{2}}{4}

Variables

Variable	Description
$A$ More Calculators Length Calculators Square in a Circle Calculator Circle Length Calculator	Area of the quarter circle
$r$	Radius of the circle

How To calculate Area Of a Quarter Circle

Example 1

Input: Radius $r = 4$

Calculation:

Plug the radius into the formula:

A = \frac{π \times 4^{2}}{4}

Calculate the square of the radius: $4^{2} = 16$

Multiply by π (approximately 3.14): $16 \times 3.14 = 50.24$

Divide by 4 to find the area: $\frac{50.24}{4} = 12.5$

Result: The area is approximately 12.56 square units.

Example 2

Input: Radius $r = 7$

Calculation:

Use the formula with the new radius:
$A = \frac{π \times 7^{2}}{4}$

Calculate the square of the radius: $7^{2} = 49$

Multiply by π (approximately 3.14): $49 \times 3.14 = 153.86$

Divide by 4 to find the area: $\frac{153.86}{4} = 38.47$

Result: The area is approximately 38.47 square units.

I hope, our calculator makes it easy to find the area of a quarter circle with any radius you choose.

Area of Quarter Circle Calculator

How to Use the Calculator

Formula

How To calculate Area Of a Quarter Circle

Example 1

Example 2

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