# Points #(8 ,5 )# and #(7 ,6 )# are #( pi)/3 # radians apart on a circle. What is the shortest arc length between the points?

The length of the chord is:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A circle's center is at #(5 ,2 )# and it passes through #(2 ,7 )#. What is the length of an arc covering #(7pi ) /8 # radians on the circle?
- A circle has a center at #(7 ,3 )# and passes through #(2 ,7 )#. What is the length of an arc covering #pi # radians on the circle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #(7pi)/12 #, and the triangle's area is #28 #. What is the area of the triangle's incircle?
- A triangle has corners at #(8 , 9 )#, #(7 ,3 )#, and #(2 ,4 )#. What is the radius of the triangle's inscribed circle?
- A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi/8# radians on the circle?

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