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Byju's Answer
Standard X
Mathematics
Relation between Area of the Sector and Length of an Arc
The perimeter...
Question
The perimeter of a sector of a circle is 37cm. If its radius is 7cm, then its arc length is
A
23 cm
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B
5.29 cm
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C
32 cm
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D
259 cm
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Solution
The correct option is
A
23 cm
Perimeter of the Sector =37cm
Then, Radius = 7cm
Now perimeter of the sector of the circle
=
Arc's length+ Radius+radius
37
=
Arc's Length +7+7
Arc's Length
=
37-14
=
23cm
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