A circle has a center at $(3 ,0 )$ and passes through $(1 ,1 )$ . What is the length of an arc covering $(3pi ) /4$ radians on the circle?

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Answer 1 · 2017-06-19T14:20:52

The length of the arc is $=5.27$

The radius of the circle is

$r=sqrt((1-3)^2+(1-0)^2)$

$=sqrt(2^2+1^2)$

$=sqrt(5)$

The length of the arc is

$s=rtheta=sqrt5*3/4pi$

$=3sqrt5/4pi$

$=5.27$

A circle has a center at (3 ,0 )(3 ,0 ) and passes through (1 ,1 )(1 ,1 ). What is the length of an arc covering (3pi ) /4 (3pi ) /4 radians on the circle?