Area of Segment of Circle


 
 
Concept Explanation
 

Area of Segment of Circle

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 AyB of a circle with centre O and radius r

 Area of the segment AyB = Area of the sector OAyB - Area of Delta OAB

                                             =frac{theta }{360}times pi r^{2}-;;area ;;of ;;Delta OAB

 

Illustration:   O is the centre of the circle, and OA = 28 cm. Find the area of minor segment AQB. [Take sqrt{2}=1.4.]

Solution:

     large Area; of; sector; OAQBO=pi times r^{2}times frac{theta }{360}

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