To calculate the Area of a Quarter Circle (A):
\[ A = \frac{\pi r^2}{4} \]
Where:
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.
Let's assume the following value:
Using the formula:
\[ A = \frac{\pi \times 8^2}{4} = \frac{\pi \times 64}{4} = 16\pi \approx 50.27 \text{ square units} \]
The Area of the Quarter Circle is approximately 50.27 square units.