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

1 Answer
Deepak G.
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)
=sqrt((5-3)^2+(9-8)^2
=sqrt((2)^2+1^2)
=sqrt(4+1)
=sqrt5
=2.24
Circumference of the Circle =2pir=2pi(2.24)=14.07
Arc covers (5pi)/4 radians of the Circle
or
Arc covers (5pi)/4-:2pi=5/8th Circumference of the Circle
Length of the arc =5/8(14.07)=8.8

Related questions
See all questions in Circle Arcs and Sectors
Impact of this question
1644 views around the world
You can reuse this answer
Creative Commons License