Points #(2 ,2 )# and #(8 ,1 )# are #(5 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?
Shortest arc length
W.r.t. the figure,
To find the Shortest arc length, center angle will be
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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.
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 8, 4, and 7. What is the radius of the triangles inscribed circle?
- The point (-3,2) lies on a circumference whose equation is #(x+3)^2+(y+1)^2-r^2 = 0#, what is the radius of the circumference?
- A circle has a center that falls on the line #y = 2/3x +7 # and passes through # ( 3 ,4 )# and #(6 ,1 )#. What is the equation of the circle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #(5pi)/12 #, and the triangle's area is #32 #. What is the area of the triangle's incircle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #(pi)/2 #, and the triangle's area is #3 #. What is the area of the triangle's incircle?

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