Math, asked by karan546031, 1 year ago

find the length of an arc of radian 3cm if the angle subtended at centre is 30 degree​

Answers

Answered by amitnrw
0

Given :   the angle subtended by arc at the centre is 30 degree

Radius of circle is 3 cm

To Find : The length of an arc

Solution:

length of an arc = ( arc angle / 360° ) circle circumference

circle circumference = 2πr

r = radius = 3 cm

arc angle  =  30°

length of  arc =  ( 30°/ 360° ) 2π (3)

=>  length of an arc =  ( 1/12) 6π

=>  length of an arc = π/2

Using π = 3.14

=>  length of arc = 3.14/2 = 1.57 cm

The length of   arc  = 1.57 cm

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