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Oct 24, 2024 · Use this segment area calculator to quickly compute the area of a segment. It can also be used to find chord length and arc length. If you're unsure what a segment of a circle is or even what a chord of a circle is, don't feel embarrassed – just scroll down to find a few definitions and some self-explanatory images.
Circular segment. Circular segment - is an area of a "cut off" circle from the rest of the circle by a secant (chord). On the picture: L - arc length h - height c - chord R - radius a - angle. If you know the radius and the angle, you may use the following formulas to calculate the remaining segment values: Circular segment formulas. Segment ...
- Table of Contents
- Circular Segment Definition
- Parts of A Circular Segment
A circular segment is a portion of a circle that is enclosed between a chord and an arc. The chord and the arc intersect at two points on the circumference of the circle.
The seven main parts of a circular segment are height (h), chord length (a), arc length (b), radius (r), angle (α), area (A) and perimeter (P).
How to Calculate a Segment of a Circle. Measure the radius (r) of the circle. Determine the height (h) of the segment. Calculate the central angle (θ) using the formula: θ = 2 * arccos ( (r – h) / r) Find the arc length using: L = r * θ. Compute the area using the formula mentioned earlier. This step-by-step process ensures accurate ...
Calculating Arc Length. Identify the radius (R) and the central angle (θ). Use the formula. Arc Length = θ/360° * 2πR. Example: For a circle with a radius of 10 units and a central angle of 60 degrees, the arc length is. Arc Length = θ/360° * 2πR = 60°/360° * 2π * 10 = 10.472 units.
Note the number of square units it takes to fill it. The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. is the radius of the circle of which the segment is a part. is the trigonometry Sine function.
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The calculator solves arc length, area, angle, height, chord or radius of circular segment by two given parameters. Online calculator: Circular segment - complete solution All online calculators
