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Semi-Circle Area Calculator

r

(radius)

units

Area (A)

square units

CopyView Calculation

How to use this Semi-Circle Area Calculator 🤔

1. Enter ✎ value for radius (r).
2. As soon as you enter the required input value(s), the Semi-Circle Area is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the semi-circle area, you can use the following formula.

\(A = \) \( \frac{ π r ^2}{2}\)

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Examples

The following examples cover how to calcualte the Area when radius is given.

1. What is the Area of Semi-Circle whose radius is 10 units?

Answer

Given:

• radius, r = 10 units

The formula to find the Area of a Semi-Circle is:

A = \( \frac{ π r ^2}{2}\)

Substitute given values in the above formula.

A = \( \frac{ π \times10^2}{2}\)

A = 157.08 square units

∴ Area, A = 157.08 square units

2. What is the Area of Semi-Circle whose radius is 2 units?

Answer

Given:

• radius, r = 2 units

The formula to find the Area of a Semi-Circle is:

A = \( \frac{ π r ^2}{2}\)

Substitute given values in the above formula.

A = \( \frac{ π \times2^2}{2}\)

A = 6.28 square units

∴ Area, A = 6.28 square units

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  "input_descriptions": [
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  "examples": [
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      "r": 10
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  "type": "Calculate",
  "title": "Semi-Circle Area",
  "category": "Geometry",
  "shape": "Semi-Circle",
  "formula_mathjax": "\\( \\frac{ π r ^2}{2}\\)",
  "formula_mathjax_sub": "\\( \\frac{ π \\times r ^2}{2}\\)",
  "formula": "Math.PI * ( r ** 2) / 2",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The semi-circle area calculator calculates the area of a semi-circle by taking its radius as input.",
  "explanation": "The area of a semi-circle is defined as the area enclosed between the diameter and the semi-circular arc shape.",
  "examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Area when radius is given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Area of Semi-Circle whose radius is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 10 units</ul><p>The formula to find the Area of a Semi-Circle is:</p><p class=\"tabspace\">A = \\( \\frac{ π r ^2}{2}\\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{ π \\times10^2}{2}\\)</p><p class=\"tabspace\">A = 157.08 square units</p><p class=\"tabspace answer\">∴ Area, A = 157.08 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Area of Semi-Circle whose radius is 2 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 2 units</ul><p>The formula to find the Area of a Semi-Circle is:</p><p class=\"tabspace\">A = \\( \\frac{ π r ^2}{2}\\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{ π \\times2^2}{2}\\)</p><p class=\"tabspace\">A = 6.28 square units</p><p class=\"tabspace answer\">∴ Area, A = 6.28 square units</p></div>",
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