# Area of a Circle Calculator

Use the this circle area calculator below to find the area of a circle given its radius, or other parameters. To calculate the area, you just need to enter a positive numeric value in one of the 3 fields of the calculator. You can also see at the bottom of the calculator, the step-by-step solution.

### Result:

The area of a circle with radius 5 is 78.539816339745

### Area of a cicle in terms of radius:

Area = π . r2 = 3.14 . 52 = 78.54 .

### In terms of diameter:

Area = π . (d/2)2 = 3.14 . (10/2)2 = 3.14 . (5)2 = 78.54 .

### In terms of circumference:

Area = C2/(4π) = 31.422/ = 986.96/(4 . 3.14) = 986.96/(12.56) = 78.54 .

Note: for simplicity, some results may be rounded to nearest hundredth and π was rounded to 3.14. See formula details below in this page.

## Formula for area of a circle

Here a three ways to find the area of a circle (formulas):

### Circle area formula in terms of circumference

See below some definitions related to the formulas:

### Circumference

Circumference is the linear distance around the circle edge.

The radius of a circle is any of the line segments from its center to its perimeter. The radius is half the diameter or r = d/2.

### Diameter

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The diameter is twice the radius or d = 2r.

### The Greek letter π

π represents the number Pi which is defined as the ratio of the circumference of a circle to its diameter or π = C / d. For simplicity, you can use Pi = 3.14 or Pi = 3.1415. Pi is an irrational number. The first 100 digits of Pi are: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

### Note:

If you input the radius in centimeters, you will get the answer in squere centimeters (cm²), if in inches, will get the answer in square inches (in²) and so on ...

Circumference is often misspeled as circunference.

You can use our area unit converter to see the results in other units.

### Disclaimer

While every effort is made to ensure the accuracy of the information provided on this website, we offer no warranties in relation to these informations.