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Circle Area Calculator

Calculate the area of a circle from its radius or diameter. Also shows circumference and diameter.

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Input

Enter a radius or diameter to compute the circle area, circumference, and diameter.

Result

r = 5

Area

78.539816

Circumference

31.415927

Diameter

10


Lengths share the input unit, and the area uses that unit squared.

How it works

  • The area is computed as A = π × r², where r is the radius.
  • When you enter a diameter d, the radius is taken as r = d ÷ 2.
  • The circumference is C = 2 × π × r and the diameter is d = 2 × r.
  • Pi is treated as approximately 3.141592653589793.
  • Lengths use the same unit as your input, and the area uses that unit squared. For example, entering cm gives an area in cm².

Frequently asked questions

What formula does this calculator use for a circle's area?
The area is A = π × r², where r is the radius and π is taken as about 3.141592653589793. For example, a radius of 5 cm gives A = π × 5², which is about 78.54 cm².
Can I use the diameter instead of the radius?
Yes. If you enter the diameter d, it is converted to the radius using r = d ÷ 2 before applying A = π × r². The circumference C = 2 × π × r is shown at the same time.
What unit will the resulting area be in?
The area uses the square of your input's length unit. Enter the radius in cm and the area comes out in cm²; enter it in m and the area is in m².

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