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Semicircle Area Calculator

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Use this calculator to determine the area of a semi-circle. You need to enter the radius of the circle and the angle of rotation or arc in degrees. The angle is required to adjust the calculation based on the part of the circle being considered.

Area of Semi Circle Calculator

Formula: A = π * r² * (θ / 360)

What is the Area of a Semicircle?

A semicircle is half of a full circle. The area of a semicircle can be calculated using the radius and the angle.

How to Use the Calculator

To calculate the area, follow these simple steps:

  1. Enter the Radius: Type the radius value into the calculator. For example, enter 6 to find the area of a semicircle with a radius of 6 units.

  2. Enter the Angle: Input the angle of rotation or arc. For example, enter 180 for a semicircle.

How to calculate semicircle area

Formula

The formula for the area of a semicircle is:

A=π×r2×(θ360)

Variables

Variable Description
A

 

Area of the semicircle
r

 

Radius of the circle
θ

 

Angle of rotation (degrees)

How To calculate Area Of Semicircle

Example 1

Input:

  • Radius
    r=4
  • Angle
    θ=180

Calculation:

Use the formula:

A=π×42×(180360)

Calculate the square of the radius:

42=16

Multiply by π (approximately 3.14):

16×3.14=50.24

Multiply by the fraction:

50.24×180360=25.12

Result: The area is approximately 25.12 square units.

Example 2

Input:

  • Radius
    r=7
  • Angle
    θ=180

Calculation:

Apply the formula:

A=π×72×(180360)

Calculate the square of the radius:

72=49

Multiply by π (approximately 3.14):

49×3.14=153.86

Multiply by the fraction:

153.86×180360=76.93

Result: The area is approximately 76.93 square units.

FAQs

How do you calculate the area of a semicircle with a diameter?

To calculate the area, first find the radius by dividing the diameter by 2, then apply the area formula.

Can I calculate the area of a semicircle in square meters?
Yes, just input the radius or diameter in meters, and the calculator will give the area in square meters.

What is the circumference of a semicircle?

The circumference is half the full circle’s circumference plus the diameter, calculated as

πr+2r\pi r + 2r
 

I hope our calculator helped you find the area of a semicircle easily.

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