Question

the radius of a sector is 21cm and it's central angle is 150°. find the perimeter of the sector?​

Answer 1

Answer:

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Answer 2

QUESTION⤵

The radius of a sector is 21cm and it's central angle is 150°. find the perimeter of the sector?

ANSWER⤵

✒consider a full sphere of radius 21 cm.

what is the perimeter of that full circle?

it is 2 pi R

= 42pi

now, we know a full circle has an angle 360

so a sector having angle 120 is (120/360) of a complete circle right? ( I just took the ratio of the angle of sector to the angle of the sphere)

120/360 = 1/3

so sector = 1/3 x full circle

therefore perimeter or circumference of the sector = 1/3 x perimeter of circle

= 1/3 x 42pi

=14pi = 14 x 3.14 = 43.96 =44.0

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