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Q.

Find the area of a sector of a circle with radius 14 cm, if the length of the corresponding arc is 22 cm.


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a

154 sq. cm

b

164 sq. cm.

c

150 sq. cm

d

148 sq.cm. 

answer is A.

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Detailed Solution

Given,
Circle Radius r=14 cm
Arc Length l=22 cm
Therefore,
Circle’s perimeter =2πr
=2×227×14=88 cm
Area of segment = Arc length  Perimeter of circle × Area of circle(πr2) 
=2288×227×14×14
=14×22×2×14
=22×7
=154 sq.cm
Thus, the area of sector is 154 sq.cm.
Correct option is 1.
 
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