A circle's center is at (3,9) and it passes through (5,8). What is the length of an arc covering 5π4 radians on the circle?

1 Answer
Aug 7, 2016

=8.8

Explanation:

Distance between the points (3,9) and (5,8) is Radius(r) of the Circle.
Distance or Radius(r)
=(53)2+(98)2
=(2)2+12
=4+1
=5
=2.24
Circumference of the Circle =2πr=2π(2.24)=14.07
Arc covers 5π4 radians of the Circle
or
Arc covers 5π4÷2π=58th Circumference of the Circle
Length of the arc =58(14.07)=8.8