A circle's center is at (3 ,9 )(3,9) and it passes through (5 ,8 )(5,8). What is the length of an arc covering (5pi ) /4 5π4 radians on the circle?

1 Answer
Aug 7, 2016

=8.8=8.8

Explanation:

Distance between the points (3,9)(3,9) and (5,8)(5,8) is Radius(rr) of the Circle.
Distance or Radius(rr)
=sqrt((5-3)^2+(9-8)^2=(53)2+(98)2
=sqrt((2)^2+1^2)=(2)2+12
=sqrt(4+1)=4+1
=sqrt5=5
=2.24=2.24
Circumference of the Circle =2pir=2pi(2.24)=14.07=2πr=2π(2.24)=14.07
Arc covers (5pi)/45π4 radians of the Circle
or
Arc covers (5pi)/4-:2pi=5/85π4÷2π=58th Circumference of the Circle
Length of the arc =5/8(14.07)=8.8=58(14.07)=8.8