Segment Area Calculator

MATH CALCULATOR Segment Area Calculator Calculate the area of a segment in a circle easily with our online calculator.
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What is the Segment Area Calculator & How does it work?
The area of a circular segment can be calculated by finding the difference between the area of the sector and the area of the triangle formed by the two radii and the chord. The formula for the area of a sector is given by:
A_{text{sector}} = frac{1}{2} r^2 theta
r = radius of the circle, ΞΈ = central angle in radians
The area of the triangle can be calculated using the formula:
A_{text{triangle}} = frac{1}{2} r^2 sin(theta)
r = radius of the circle, ΞΈ = central angle in radians
Therefore, the area of the segment is:
A_{text{segment}} = A_{text{sector}} – A_{text{triangle}}
A_{text{segment}} = area of the segment
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Parameters
Segment Areaβ€”
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Frequently Asked Questions
How do I calculate the area of a circular segment?
To calculate the area, subtract the triangle's area from the sector's area using the formulas provided.
What are the formulas for the sector and triangle areas?
The sector area is 0.5 * r^2 * ΞΈ, and the triangle area is 0.5 * r^2 * sin(ΞΈ).
Can I use degrees instead of radians?
Yes, convert degrees to radians by multiplying by Ο€/180 before using the formulas.
What is a circular segment?
A circular segment is the region bounded by a chord and the arc subtended by the chord in a circle.
How do I find the radius of the circle?
Measure the distance from the center of the circle to any point on its edge.
What is the central angle in radians?
The central angle is the angle at the center of the circle between two radii that define the arc of the segment.
Why do I need to calculate both sector and triangle areas?
Subtracting the triangle's area from the sector's area gives the area of the circular segment.

Results are for informational purposes only and do not constitute professional advice.