A circle of radius 120 cm is divides into 5 equal sectors . find the length of the arc of each of the sector
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Given data :-
A circle of radius 120 cm is divides into 5 equal sectors . [ r = 120 cm ]
Solution:-
We know that circle is of 360°
{ Accoding to given.} Circles divided into 5 equal sectors it mean's angles of circle is also divided in 5 equal parts.
Hence,
—› Angle of circle = 360°/5
—› Angle of circle = 72° ........ ( 1 )
Now, to find length of the arc of each of the sector we use fomula .
—› Length of arc of sector
= {θ/360°} × 2πr
—› Length of arc of sector
= {72°/360°} × 2 × 22/7 × 120
—› Length of arc of sector
= 0.2 × 44/7 × 120
—› Length of arc of sector
= 0.2 × 44/7 × 120
—› Length of arc of sector
= 0.2× 5280/7
—› Length of arc of sector
= 1056/7
—› Length of arc of sector
= 150.8571 cm ( aprrox )
Hence, the length of the arc of each of the sector is 150.8571 cm (aprrox).
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