A circle's center is at #(5 ,2 )# and it passes through #(2 ,3 )#. What is the length of an arc covering #(7pi ) /8 # radians on the circle?

Question

How many degrees does the hour hand of a clock turn in 5 minutes?
A circle has a center at #(3 ,1 )# and passes through #(2 ,1 )#. What is the length...
A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length...
A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length...
A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length...
A circle has a center at #(7 ,3 )# and passes through #(2 ,7 )#. What is the length of...
A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of...
A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of...
A circle has a center at #(1 ,3 )# and passes through #(2 ,1 )#. What is the length of...
A circle has a center at #(1 ,2 )# and passes through #(4 ,7 )#. What is the length of...

1694 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-28T04:17:21

# ( 7 sqrt(10) pi ) / 8 #

Please check my solution here for a detailed explanation.

Solution
Radius # r = sqrt( (2 - 5)^2 + (3 - 2)^2 ) = sqrt(10) #.
Arc length # S = ( 7 sqrt(10) pi ) / 8 #.