1 Find the arc length subtended by a central angle of 30 in

1. Find the arc length subtended by a central angle of 30° in a circle of radius 3 and radius 4.

(a) radius 3=

(b) radius 4=

2.Find the measure of a central angle in a circle of radius 1 if subtends an arc of length /6. Give in radians and degrees.

(a) radians
=

(b) degrees
= °

1) arc length =r*(^o_/_180^o)

a)central angle of 30° in a circle of radius 3

arc length =3*(30^o_/_180^o)

arc length =_/2

b)central angle of 30° in a circle of radius 4

arc length =4*(30^o_/_180^o)

arc length =2_/3

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2)a)arc length s=r

r =1 ,s=_/6

_/6=1*

=_/6 radians

b)arc length s=r*(^o_/_180^o)

_/6=1*(^o_/_180^o)

=180^o_/6

=30^o