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In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk [1] which is "cut off" from the rest of the disk by a straight line. The complete line is known as a secant , and the section inside the disk as a chord .
You can calculate the segment area in three steps: Determine the radius of the circle. Calculate the central angle. Apply the segment area formula: 0.5 × r² × (α – sin(α))
The area of the segment of a circle is determined by subtracting the triangle formed inside the sector from the sector which has the segment. In this article, we shall discuss in detail the segment and area of a segment of a circle and all related theorems with proof.
A portion of a disk whose upper boundary is a (circular) arc and whose lower boundary is a chord making a central angle theta<pi radians (180 degrees), illustrated above as the shaded region. The entire wedge-shaped area is known as a circular sector. Circular segments are implemented in the Wolfram Language as DiskSegment[{x, y}, r, {q1, q2}].
How To Find the Area of a Segment of a Circle? Here are the steps to find the area of a segment of a circle. Identify the radius of the circle and label it 'r'. Identify the central angle made by the arc of the segment and label it 'θ'. Find the area of the triangle using the formula (1/2) r 2 sin θ.
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 ...
Area of a Segment of a Circle = θ/360° × πr 2 – ½ r 2 sinC. Factoring by 1/2r 2 we get, Area (A) of a Segment of a Circle = ½ × r 2 × (πθ /180 – sin θ) Thus, if the radius is known and the central angle of the segment is given in degrees, the formula to find the area of a segment is given below.