Question

what is the radius of the sector of central angle 120 degrees and the length of the arc 924 cm?


please help

Answer 1

Answer:

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Answer 2

Answer:

Length of arc = radius of sector × central angle(radians)

120 degree = ( 120 × pi ) / 180 radians

= ( 120 × pi ) / 180

= 2pi/3 radians

924 =( r × 2 × pi )/ 3

r = (924 × 3)/ ( 2 pi)

= 1386 pi

or

r = 1386 × 22 /7 ( pi = 3.14 or 22/7)

= 4356cm