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Major arc
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- A major segment is made by a major arc, and a minor arc makes a minor segment of the circle.
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How do you get a major segment in a circle?
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How many types of segments are there in a circle?
Aug 3, 2023 · There are two types of segments in a circle: minor and major segment. A segment with an intercepted arc less than the semicircle is called a minor segment, while a segment with an intercepted arc more than the semicircle is called a major segment.
A major segment is obtained by removing the corresponding minor segment from the total area of the circle. A semicircle is the largest segment in any circle formed by the diameter and the corresponding arc.
A major segment is a segment where the arc length is greater than half of the circumference of the circle. To find the area of a segment of a circle, you can use the formula for the area of a triangle and the formula for the area of a sector.
Area of Major Segment = Area of Circle – Area of Minor Segment. Hence, Area of Major Segment = πr2 – ( θ 360 πr2 – 1 2 r2sinθ) Example : A chord 10 cm long is drawn in a circle whose radius is √50 cm. Find the area of segments. Solution : Radius of the circle = √50 cm.
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.
- 8 min
There are two main "slices" of a circle: The "pizza" slice is called a Sector. And the Segment, which is cut from the circle by a "chord" (a line between two points on the circle).
This overview covers the classification of circle segments into minor and major, based on their size relative to a semicircle. It details formulas for calculating the area of these segments using central angles in both radians and degrees, and explains how to determine the arc length of a segment.
