Geometry

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- Arc Length Calculator
- Area of a Circle Calculator
- Area of a Hexagon
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- Area of a Parallelogram
- Area of a Pentagon
- Area of a Rectangle
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- Center of Mass Calculator
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- Distance Formula Calculator
- Geometry Calculators
- How to Find the Height of a Triangle
- Isosceles Triangle Theorem
- Perimeter of a Circle
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- Perimeter of a Rhombus
- Perimeter of a Semicircle
- Perimeter of a Square
- Perimeter of a Trapezoid
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- Properties of a Parallelogram
- Pythagorean Theorem Calculator
- Side Angle Side Theorem
- Side Splitter Theorem
- Similar Triangles
- Special Right Triangles
- Surface Area of a Cone
- Surface Area of a Cube
- Surface Area of a Cylinder
- Surface Area of a Hemisphere
- Surface Area of a Pyramid
- Surface Area of a Sphere
- Surface Area of a Triangular Prism
- Triangle Inequality Theorem
- Types of Triangles
- Vertical Angles
- Volume of a Cone
- Volume of a Cube
- Volume of a Hexagonal Prism
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Tutors/teachers:

Nikkolas

Tutor and Aerospace Engineer

# Area of a Semicircle

## Semicircle Area Formula

The formula for area of a semicircle is given as:**A = ^{1}⁄_{2}πr^{2}**

Where

*A*is the area and

*r*is the radius.

### Example Problems

**Problem 1:**

What is the area of a semicircle with a radius of 5?

Solution:

1.) Let’s plug the radius into the area formula.

A = ^{1}⁄_{2}πr^{2}

A = ^{1}⁄_{2}π(5^{2}) = 12.5π

2.) **The area is 12.5π.**

**Problem 2:**

A semicircle’s area is measured to be 4.5π square meters. What is the radius in meters?

Solution:

1.) Let’s plug the area into the formula.

A = ^{1}⁄_{2}πr^{2}

4.5π = ^{1}⁄_{2}πr^{2}

2.) Now we will solve for the radius *r*.

4.5 = ^{1}⁄_{2}r^{2}

r^{2} = 9

r = 3

3.) **The radius is 3 meters.**

Result :

Worksheet 1

Download.pdf

Cheat sheet

Download.pdf