Question 1207162

The length of an arc depends on the {{{radius}}} of a circle and the central angle {{{theta}}}. 

We know that for the angle equal to {{{360}}} degrees ({{{2pi}}}), the arc length is equal to circumference. 

Hence, as the proportion between angle and arc length {{{L}}} is constant, we can say that:

{{{L / theta = C / 2pi}}}.....as circumference {{{C = 2pi*r}}}

{{{L  = theta((2r*pi) / 2pi)}}}

{{{L  = theta*r}}}


given:

{{{theta=80}}} =>convert to radians =>{{{theta=1.3963}}} radians

{{{r=100m}}}


{{{L  = 1.3963*100m}}}

{{{L  =139.63m}}}