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# Area of a Semicircle

## Area of a Semicircle Lesson

### Semicircle Area Formula

The formula for area of a semicircle is given as:

A = 12πr2

Where A is the area and r is the radius.

INTRODUCING

### Area of a Semicircle Example Problems

Let's go through a couple of example problems together to practice finding the area of a semicircle.

#### Example 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.
2. A = 12πr2
3. A = 12π(52) = 12.5π
4. The area is 12.5π.

#### Example 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.
2. A = 12πr2
3. 4.5π = 12πr2
4. Now we will solve for the radius r.
5. 4.5 = 12r2
6. r2 = 9
7. r = 3
8. The radius is 3 meters.
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