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Example 3: Find the area of the major segment of a circle if the area of the corresponding minor segment is 62 sq. units and the radius is 14 units. Use π = 22/7. Solution: Area of the major segment = area of the circle - area of the minor Segment. = πr 2 − 62. = (22/7) × 14 × 14 − 62. = 554 sq. units.
- Subtended
An arc of a circle is any part of the circumference. The...
- Expert Maths Tutoring in The UK
There are two types of segments - minor segment and major...
- Chord
A chord of a circle is any line segment joining two points...
- Sector
The region OAPB is called the minor sector and the region...
- Tangent
The four major properties of a tangent to a circle are...
- Circumference
The circumference of a circle is its boundary or the length...
- Diameter
Examples on Diameter Formula. Let us solve some interesting...
- Area
Math mastery comes with practice and understanding the ‘Why’...
- Subtended
- Segment of A Circle Definition
- Types of Segments in A Circle
- Area of A Segment of A Circle Formula
- Theorems on Segment of A Circle
- Practice Questions
A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord’s endpoints. In other words, a circular segment is a region of a circle which is created by breaking apart from the rest of the circle through a secant or a chord. We can also define segments as the parts that are divided by the circl...
According to the definition, the part of the circular region which is enclosed between a chord and corresponding arc is known as a segment of the circle. There are two classifications of segments in a circle, namely the major segment and the minor segment. The segment having a larger area is known as the major segment and the segment having a small...
The formula to find segment area can be either in terms of radians or in terms of degree. The formulas for a circle’s segment are as follows:
There are two main theorems based on a circle’s segments which are: 1. Alternate Segment Theorem 2. Angle in the Same Segment Theorem 3. Alternate Angle Theorem
A chord of a circle of radius 14 cm makes a right angle at the centre. Find the areas of the major and minor segments of the circles formed.Find the area of both the segments cut off by a chord of length 10 cm of a circle whose radius is 5√2 cm.A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the areas of the minor and major segments.- 8 min
Apr 25, 2024 · There are two types of segments of a circle: major and minor segment: The bigger segment is called the major segment and the smaller segment is called the minor segment. State the Formula for the Area of the Segment in Radians. Area of segment (when θ in radians) = (1/2) × r 2 (θ – sinθ) State the Formula for the Area of the Segment in ...
Solution. Definition: 1 Mark each. The portion (or part) of the circular region enclosed between a chord and the corresponding major arc is called major segment of the circle. The portion (or part) of the circular region enclosed between a chord and the corresponding minor arc is called minor segment of the circle. Suggest Corrections.
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. If nothing specifically is stated, a segment means the minor segment.
Oct 24, 2024 · What is the difference between a minor segment and a major segment? A minor segment is smaller than a semicircle , while a major segment is larger . The difference is based on whether the central angle is less or more than 180 degrees .
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Chords Of A Circle. The following figures show the different parts of a circle: tangent, chord, radius, diameter, minor arc, major arc, minor segment, major segment, minor sector, major sector. Scroll down the page for more examples and explanations. Printable & Online Circle Worksheets.
