» Area of a Circle Calculator


Area of a circle calculator: find circle area from radius, diameter, or circumference with A = pi r^2, reverse solve missing dimensions, and convert area units.

Use this area of a circle calculator to find circle area from radius, diameter, or circumference. It also works in reverse, so you can start from a known area and solve the missing circle dimension.

The main formulas are A = pi r^2, A = pi d^2 / 4, and A = C^2 / (4pi). That makes the calculator useful for geometry, flooring, round tables, circular plots, pipe cross-sections, and any problem where a round area must be measured or compared.


Area of a circle formula

$$A= \pi \times r^{2}$$


Tip: Choose any one input value to calculate the others. You can enter plain numbers, fractions, or pi expressions such as pi, 1/2 pi, 1 1/2pi, and 2pi.


Area Calculator FAQ

What is the formula for the area of a circle?
The standard formula is A = pi r^2, where r is the radius. If you know the diameter, use A = pi d^2 / 4. If you know the circumference, use A = C^2 / (4pi).

How do you calculate circle area from the diameter?
Use A = pi d^2 / 4, or divide the diameter by 2 to get the radius and then apply A = pi r^2.

How do you find the radius from the area?
Rearrange the formula to r = sqrt(A / pi). The calculator uses this reverse formula when the area is the known input.

How do you calculate circle area from the circumference?
Use A = C^2 / (4pi). You can also find the radius from r = C / (2pi) first and then apply A = pi r^2.

What is the area of a semicircle or quarter circle?
A semicircle has area pi r^2 / 2, and a quarter circle has area pi r^2 / 4.

When is an area of a circle calculator useful?
It is useful for geometry, round tables, circular rugs, pizza size comparisons, pipe cross-sections, circular plots, pools, and any practical problem involving a round area.


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