To find the area of a circle, you use the formula: Area=π×r2\text{Area}=\pi \times r^2Area=π×r2 where:
- rrr is the radius of the circle (the distance from the center to the edge),
- π\pi π (pi) is approximately 3.14 or 227\frac{22}{7}722.
If you know the diameter ddd of the circle (which is twice the radius), you can first find the radius by dividing the diameter by 2, then apply the formula. Alternatively, the area can also be calculated using the diameter ddd directly with the formula: Area=π×d24\text{Area}=\frac{\pi \times d^2}{4}Area=4π×d2 If you have the circumference CCC of the circle, you can find the area using: Area=C24π\text{Area}=\frac{C^2}{4\pi}Area=4πC2 In summary:
- Using radius: Area=πr2\text{Area}=\pi r^2Area=πr2
- Using diameter: Area=πd24\text{Area}=\frac{\pi d^2}{4}Area=4πd2
- Using circumference: Area=C24π\text{Area}=\frac{C^2}{4\pi}Area=4πC2
These formulas allow you to find the amount of space inside a circle in square units. For example, if the radius is 4 units, the area is: 16π≈50.27 square units16\pi \approx 50.27\text{ square units}16π≈50.27 square units If the diameter is 12 units, the area is: 36π≈113.1 square units36\pi \approx 113.1\text{ square units}36π≈113.1 square units
