2024年10月24日 · 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.

Segment and area of a segment of the circle: A segment is a part of a circle basically the region between the chord and an arc. A circle is a path traced by a point that is equidistant from a unique point on the plane, this point is called the centre of the circle and the constant distance is called the radius of the circle.

2023年8月3日 · Area Segment = Area Sector – Area Triangle (A segment ABC) = (A sector AOBC) – A ΔAOB (A segment ABC) = (θr 2)/2 – ½ r 2 sin θ. Factoring by 1/2r 2 we get, Area (A) of a Segment of a Circle = r 2 /2 (θ – Sin θ) Thus, if the radius is known and the central angle of the segment is given in deg, the formula to find the area of a ...

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 ...

The properties of a segment of a circle are: It is the area that is enclosed by a chord and an arc.; The angle subtended by the segment at the center of the circle is the same as the angle subtended by the corresponding arc. This angle is usually known as the central angle. A minor segment is obtained by removing the corresponding major segment from the total area of the …

The Area of a Segment is the area of a sector minus the triangular piece shaded blue below: There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r 2 (when θ is in radians)

h is the height of the segment. Note: The result of the cos-1 function in the formula is in radians. Another method. If you know the central angle of the segment (the angle subtended by the segment at the center of the circle) you can use the method Area of a circular segment given the central angle. Applications

If you know the segment height and radius of the circle you can also find the segment area. See Area of a Circular Segment given the Segment Height. Calculator. Use the calculator below to calculate the segment area given the radius and segment's central angle, using the formula described above. Remember: In this version, the central angle must ...

A segment is the section between a chord and an arc. It is essentially a sector with the triangle cut out, so we need to use our knowledge of triangles here as well. To calculate the area of a ...

To find the area of a segment, find the area of the sector and then subtract the area of the triangle. In this case, the central angle that intercepts minor arc AB is 90^{\circ} , and the radius length is 12\mathrm{~cm}. 2 Make the calculation or provide an explanation. Area of sector: