Area of segment of circle
The portion (or part) of the circular region enclosed between a chord and the corresponding arc is called a segment of the circle.
Now let us take the case of the area of the segment AQB of a circle with centre O and radius r Area of the segment AQB = Area of the sector OAQB - Area of OAB As angle of the sector and radius is given to us, we will find the value of AB and OP in terms of angle and radius Now is a right angled at P
As we that perpendicular to the chord from the centre bisects the chord
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ILLUSTRATION: O is the centre of the circle, and OA = 28 cm. Find the area of minor segment AQB.
Solution:
Area of segment AQBA = area of sector OAQBO - area of
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The area of a segment of circle of radius 14 cm if the arc of the segment has a measure of 30 degree is: | |||
Right Option : C | |||
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The area of segment of a circle of radius 21 cm if the arc of the segment has a measure of 60 degrees is: | |||
Right Option : B | |||
View Explanation |
If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then | |||
Right Option : C | |||
View Explanation |
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