Math Tool

Circle & Geometry Calculator

Compute area, circumference, diameter, and sphere volume from radius.

Last reviewed by the myCalculator Editorial Team

Input Parameters

cm

Calculation Results

Circle Area
78.5398units²
Circumference
31.4159units
Diameter
10units
Sphere Volume
523.5988units³
Sphere Surface Area
314.1593units²
Step-by-Step Calculation Solution
1.Area = π × r² = π × (5)² = 78.5398
2.Circumference = 2 × π × r = 2 × π × (5) = 31.4159

Formula & How Circle & Geometry Calculator Works

Mathematical Formula
Area = πr², Circumference = 2πr

A circle's area is A = π × r² and its circumference is C = 2 × π × r, where r is the radius and π is about 3.14159. For a radius of 5 m the area is π × 25 = 78.54 m² and the circumference is 2 × π × 5 = 31.42 m. If you know the diameter, halve it to get the radius. Because area depends on the radius squared, doubling the radius makes the area four times larger, while the circumference only doubles. This matters when you order concrete for a round slab, paint for a circular wall, or fencing for a circular enclosure, so always check which measurement you have before you calculate.

How to Calculate Circle & Geometry Calculator (Step-by-Step)
  1. Enter Radius (r) (cm): Input your target parameter value.
  2. Apply Formula: Calculate using Area = πr², Circumference = 2πr.
  3. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is Pi (π)?

The ratio of a circle's circumference to its diameter, approximately 3.14159.

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