Area of a SemiCircle Calculator

Calculate the area of a semicircle by entering the radius of the circle that forms the semicircle.

Input Parameters

Calculation Results

Calculation Formula

Area = π × r² / 2

Where:
π (pi) ≈ 3.14159
r = radius of the semicircle

Area of a Semicircle Calculator Usage Guide

Learn how to use the Area of a Semicircle Calculator and understand its mathematical principles

How to Use This Calculator

  1. Enter the radius of the semicircle in the input field. The radius is the distance from the center of the semicircle to any point on its curved edge.
  2. Click the "Calculate" button to compute the area.
  3. The area of the semicircle will be displayed in the result field.
  4. Click "Reset" to clear all inputs and start over.

Mathematical Principles

A semicircle is exactly half of a circle. The area of a circle is calculated as π × r², where r is the radius. Therefore, the area of a semicircle is:

Area = π × r² / 2

This formula calculates the flat, two-dimensional space enclosed by the semicircle's curved edge and its diameter.

Example

If the radius of a semicircle is 5 units:

  1. Area = π × 5² / 2
  2. Area = 3.14159 × 25 / 2
  3. Area = 78.53975 / 2
  4. Area = 39.269875 square units

Applications

The area of a semicircle calculator can be used in various fields including:

  • Architecture and construction for designing curved structures
  • Landscaping for planning semicircular flower beds or patios
  • Engineering for calculating areas in mechanical designs
  • Mathematics education for teaching circle properties