First, find the radius of the circle. Then, apply the formula A = (π * r²) / 4 to calculate the area. This will give you the space inside the quarter circle.
Area of Quarter Circle Calculator
An area of quarter circle calculator is a tool used to find the area of one-quarter of a circle. Using the radius or diameter, it helps calculate the area easily based on the formula A = (π * r²) / 4.
Formula:
Where:
| Variable | Meaning |
|---|---|
| A | Area of the quarter circle |
| r | Radius of the circle |
Example Calculation:
If the radius (r) of a quarter circle is 6 cm, then we can calculate the area using the formula.
| Step | Calculation |
|---|---|
| Radius of the quarter circle (r) | 6 cm |
| Area of the quarter circle (A) | |
| Final Answer | 28.27 cm² |
Answer: The area of the quarter circle is 28.27 cm².
What is the Area of a Quarter Circle?
The area of a quarter circle is the space inside a quarter of a full circle. To find the area, you can use the area of quarter circle formula, which divides the area of a full circle by 4.
If you know the radius of the circle, you can easily calculate the area with tools like an area of quarter circle calculator. This is helpful when working with sectors like a quarter or half of a circle, especially for geometry problems that involve part of a circle.
The formula A = (π * r²) / 4 is used to find the area of a quarter circle. You can also find this calculator in various forms, such as the area of quarter circle calculator with diameter or steps to solve it manually.
Whether working in square meters or other units, this formula helps calculate any quarter-circle area, making it versatile for different types of measurements.
