# A triangle has vertices A, B, and C. Vertex A has an angle of #pi/8 #, vertex B has an angle of #( pi)/6 #, and the triangle's area is #27 #. What is the area of the triangle's incircle?

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The area of the triangle's incircle is ( 27\sqrt{3} ).

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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.

- Two circles have the following equations #(x -1 )^2+(y -2 )^2= 64 # and #(x +7 )^2+(y +2 )^2= 9 #. 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 triangle has corners at #(5 ,8 )#, #(2 ,7 )#, and #(7 ,3 )#. What is the area of the triangle's circumscribed circle?
- What is the equation of the circle with a center at #(-3 ,-1 )# and a radius of #5 #?
- A circle has a center at #(7 ,9 )# and passes through #(1 ,1 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?
- A triangle has corners at #(5 ,2 )#, #(8 ,1 )#, and #(3 ,4 )#. What is the area of the triangle's circumscribed circle?

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