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Circle Calculator

Calculate circle area, circumference, and diameter

Units

Area

314.16

sq ft

Circumference

62.83

ft

Diameter

20.00

ft

Circle Diagram

r = 10.0ft
d = 20.0ftC = 62.83ft

Area

314.16

sq ft

Circumf.

62.83

ft

Diameter

20.00

ft

Formulas Used

Circle Area

Area = π × r²

The area enclosed by a circle, calculated as pi times the radius squared.

Where:

r= Radius of the circle
π= Pi, approximately 3.14159

Circle Circumference

Circumference = 2 × π × r

The perimeter (distance around) the circle.

Where:

r= Radius of the circle
π= Pi, approximately 3.14159

Diameter

Diameter = 2 × r

The diameter is twice the radius, passing through the center of the circle.

Where:

r= Radius of the circle

Example Calculations

1Circle with Radius 10

Inputs

Radius10

Result

Area314.16
Circumference62.83
Diameter20.00

Area = π × 10² = π × 100 = 314.16. Circumference = 2 × π × 10 = 62.83. Diameter = 2 × 10 = 20.00.

2Circle with Radius 7

Inputs

Radius7

Result

Area153.94
Circumference43.98
Diameter14.00

Area = π × 7² = π × 49 = 153.94. Circumference = 2 × π × 7 = 43.98. Diameter = 2 × 7 = 14.00.

Frequently Asked Questions

Q

How do you calculate the area of a circle?

Area of a circle = π × r², where r is the radius. For example, a circle with radius 5 has area = π × 5² = 78.54 square units. Alternatively, area = π × (d/2)² where d is the diameter.

Q

How do you calculate the circumference of a circle?

Circumference = 2 × π × r, where r is the radius. For a circle with radius 10, circumference = 2 × π × 10 = 62.83 units. Alternatively, circumference = π × d where d is the diameter.

Q

What is the relationship between radius and diameter?

Diameter = 2 × radius. The diameter is twice the radius. If radius is 5, diameter is 10. The radius is half the diameter.

Q

What is the value of π (pi)?

π (pi) is approximately 3.14159, but is often rounded to 3.14 for calculations. It represents the ratio of a circle's circumference to its diameter. For precise calculations, use π = 3.14159265359.

Understanding Circle Calculations

A circle is defined by its radius (distance from center to edge). All circle measurements can be calculated from the radius.

The area of a circle is π times the radius squared. The circumference is 2π times the radius.

The diameter is always twice the radius, and the circumference equals π times the diameter.

Related Calculators

Area Calculator

Calculate area

Volume Calculator

Calculate volume

Last Updated: Feb 12, 2026

This calculator is provided for informational and educational purposes only. Results are estimates and should not be considered professional financial, medical, legal, or other advice. Always consult a qualified professional before making important decisions. UseCalcPro is not responsible for any actions taken based on calculator results.

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