What is the formula for segment of a circle?
Area of a Segment of a Circle Formula
| Formula To Calculate Area of a Segment of a Circle | |
|---|---|
| Area of a Segment in Radians | A = (½) × r2 (θ – Sin θ) |
| Area of a Segment in Degrees | A = (½) × r 2 × [(π/180) θ – sin θ] |
How do you find a segment?
To calculate the area of a segment, we will need to do three things:
- find the area of the whole sector.
- find the area of the triangle within the sector.
- subtract the area of the triangle from the area of the sector.
How do you find the area of a major segment?
Answer
- Answer: area of segment = area of sector – area of triangle.
- Step-by-step explanation:
- area of segment = area of sector – area of triangle.
How do you find the area of a major segment in a circle?
Area of a Segment
- (a) The area of the minor segment when angle θ and radius r are given:
- Area of segment = area of sector AOBC ± area of ΔAOB.
- Now the area of the major segment = area of circle – area of the minor segment.
- A chord AB of a circle of radius 15cm makes an angle of 60∘at the center of the circle.
How do you find the area of a sector and segment of a circle?
- Area of Sector = θ × π 360 × r2 (when θ is in degrees)
- Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
- L = θ × π180 × r (when θ is in degrees)
What is the area of major segment?
If you know the radius, r, of the circle and you know the central angle, ϴ, in degrees of the sector that contains the segment, you can use this formula to calculate the area, A, of only the segment: A = ½ × r^2 × ((π/180) ϴ – sin ϴ)
What is a major segment of a circle?
Segment (of a Circle) A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.
