# A triangle has corners at #(5 ,7 )#, #(7 ,9 )#, and #(4 ,6 )#. What is the area of the triangle's circumscribed circle?

The given points do not form a triangle; they are co-linear on the line

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To find the area of the circumscribed circle of a triangle, you first need to calculate the lengths of the sides of the triangle using the distance formula. Then, you can use the formula for the area of a triangle inscribed in a circle, which is ( A = \frac{abc}{4R} ), where ( a ), ( b ), and ( c ) are the lengths of the sides of the triangle and ( R ) is the radius of the circumscribed circle. Finally, solve for ( R ) using the formula for the area of a triangle: ( A = \frac{1}{2}bh ).

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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 corners at #(5 , 2 )#, #(2 ,3 )#, and #(3 ,1 )#. What is the radius of the triangle's inscribed circle?
- Two circles have the following equations #(x -1 )^2+(y -4 )^2= 64 # and #(x +3 )^2+(y -4 )^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?
- How do you write an equation of a circle with center at (0,5), d=20?
- What is the equation of the circle with a center at #(4 ,1 )# and a radius of #2 #?
- A triangle has corners at #(9 ,3 )#, #(4 ,1 )#, and #(2 ,8 )#. What is the area of the triangle's circumscribed circle?

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