Area of a semi circle calculator

Area of a semi circle Calculator

Radius*

Back

Calculate

Area of Semi Circle

Angle of rotation/Arc

Back

Calculate

Frequently Asked Questions

The area of a semi-circle is half of the area of a full circle. While the area of a full circle is calculated using the formula A = π * r^2, the area of a semi-circle is calculated using the formula A = (π * r^2 * a/360), where ‘a’ is the arc angle or central angle, which is always 180 degrees for a semi-circle.

No, the area of a semi-circle cannot be negative. Area is a scalar quantity representing the amount of space occupied by a shape, and it is always non-negative. If you obtain a negative value for the area, it is likely that there was an error in your calculations.

No, you can use any unit of measurement for the radius when calculating the area of a semi-circle, as long as you are consistent. However, the resulting area will be in square units of the unit used for the radius. For example, if the radius is measured in meters, the area will be in square meters.

Yes, the area of a semi-circle is always proportional to the square of its radius. This is evident from the formula A = (π * r^2 * a/360), where ‘A’ represents the area and ‘r’ represents the radius. Since the arc angle ‘a’ is always 180 degrees for a semi-circle, the relationship between the area and the square of the radius remains constant.

If you only know the diameter of a semi-circle, you can calculate the radius by dividing the diameter by 2. Once you have the radius, you can use the formula A = (π * r^2 * a/360) to calculate the area of the semi-circle, where ‘a’ is the arc angle or central angle, which is always 180 degrees for a semi-circle.

Calculate the area of any semi-circle. Enter the radius and total degrees of the rotation (arc) of the semi-circle to calculate the area. The degree of rotation is the angle between the end line/points.

Semi Circle Area Formula

The formula the calculator uses is as follows:

Area = PI (3.141) * r ^2 * a/360

Where r is the radius
a is the arc angle also known as the central angle. (For a semi-circle this is always 180 degrees)

Area of a semi circle definition

The area of a semi-circle is defined as the total area occupied by half of the area of the circle enclosed by the given radius.

How to calculate the area of a semi circle?

How to calculate the area of a semi circle

Measure the Angle
The first step is to ensure that the area you are looking to calculate is in fact a semi-circle. If you do find this to be the case, the angle in the formula above will be 180 degrees. If this is not the case, then you must find the angle by measuring it. For this example, we will assume it is in fact a semi-circle, so the angle is 180.
Measure the Radius
The next step is to measure or calculate the radius. For this example, we are going to assume the diameter of the semi-circle is given at 2 meters (m). To find the radius we must divide the diameter by 2. This yields a result of 1 meter for the radius.
Calculate the Area
The final step is the plug all of the information into the formula or simply use the calculator. Using the formula we find the area of this semi-circle is 1.570 meters squared.
Analyze the results
Analyze the results and determine if the answer makes logical sense. This step is key in determining the accuracy of your calculations.

FAQ

What is the area of a semi circle?

The area of a semi-circle is defined as the total area occupied by half of the area of the circle enclosed by the given radius.