A triangle has corners at #(2 ,4 )#, #(6 ,5 )#, and #(4 ,2 )#. What is the area of the triangle's circumscribed circle?
1 Answer
The area of the circle is
Explanation:
We can use the points to write 3 equations for the circle with radius and center (h, k):
Set the right side of equation 1 equal to right side of equation 2 and equation 3:
I will use the pattern
Combine like terms with h and k terms on the left and constants on the right:
Return to the first equation and substitute
The area of the circle is