Question

Find the area of a sector of a circle whose radius is r and length of the arc is l.

Answer 1

SECTOR OF A CIRCLE:

The region enclosed by two radii and the corresponding arc of a circle is called the sector of a circle. The sector containing minor Arc is called minor sector and the sector containing major arc is called major sector. Angle of minor sector is less than 180° and Angle of major sector is more than 180°.The sum of angles of major and minor sector is  360°.

SOLUTION:
If the radius of a circle is r and length of the arc is l, then

Length of the arc (l) = (θ /360) ×2 πr……(1)
Length of the arc (l) = (θ /180) × πr

Area of sector =  (θ /360) ×πr²
Area of sector = ½ ×r (θ / 180) ×πr
Area of sector =( ½) lr  [ from eq 1]

Hence , the Area of sector = ( ½) lr sq units.

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Answer 2

Step-by-step explanation:

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