Question

In a circle of radius 21cm, an arc subtends an angle of 120 degree at centre . Calculate the length of the arc

Answer 1

Answer:

a

$angle = \frac{arc}{radius} \\ 120 = \frac{length \: of \: arc}{21} \\ 360degree = 2\pi \\ 120degree = 2\pi \times \frac{120}{360} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2\pi}{3} \\ so \: \frac{2\pi}{3} = \frac{lengthof \: arc}{21} \\ \frac{2}{3} \times \frac{22}{7} \times 21 = \: length \: of \: arc \\ length \: of \: arc \: = 44cm \: \\ subscribe \: my \: channel \:$

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