# Points #(2 ,9 )# and #(1 ,5 )# are #(3 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?

The arc length is

The angle

The distance between the points is

This is the length of the chord

So,

The length of the arc is

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The shortest arc length between the points on the circle is ( \frac{7\pi}{4} ) radians.

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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 triangle has sides with lengths of 2, 1, and 8. What is the radius of the triangles inscribed circle?
- How do you write an equation of a circle with center at (1,-4), #r=sqrt17#?
- A circle has a center that falls on the line #y = 7/6x +1 # and passes through #(9 ,8 )# and #(2 ,5 )#. What is the equation of the circle?
- Two circles have the following equations: #(x -8 )^2+(y -5 )^2= 9 # and #(x +4 )^2+(y +2 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle's center is at #(4 ,6 )# and it passes through #(3 ,1 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?

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