Question

Area of a sector of central angle is 120° of a circle is 3 pie cm ^2.then the length of the corresponding arc of the sector is?

Answer 1

Answer:

Length of the corresponding arc=44/7cm

=6.28cm

Step-by-step explanation:

Given:

Area of the sector =3πcm²

Central angle=120°

To find:

Length of the corresponding arc =((2×π×r)/360°)×central angle

Solution:

To find the length of the arc first we need to find the radius of the arc.

Let the radius be"r".

Area =(π×r²\360°)×central angle

According to the question,

3πcm²=(π×r²/360°)×120°

3π=(π×r²)/3

3π×3=π×r²

9π=π×r²

r²=9

r=3

According to To find,

Length of the corresponding arc=+(2×π×r)/360°)× Central angle

=((2×π×3)/360)/120

=(2×22/7×3)/3

=44/7

=6.28cm

Answer 2

Answer:

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Step-by-step explanation: