Question

Please help
The radius of a circle is 15.2 cm. find the length of an arc of the circle intercepted by a central angle of 3pie/4

Answer 1

I suppose they have given the angel in radian?

Answer 2

well regardless of that, in order to find the arc length, the method will be the same whether the angle has be given in degrees or radians

Answer 3

\[S = \theta*r\]

Answer 4

so in this case

our s is unknown

our θ = 3pi/4

and our radius = 15.2 cm

Answer 5

\[S = \frac{ 3\Pi }{ 4 }* 15.2\]
\[S = \frac{ 57 }{ 5 }\Pi \]

Answer 6

which is basically 35.81 cm