A triangle has corners at #(4 ,6 )#, #(8 ,9 )#, and #(3 ,5 )#. What is the area of the triangle's circumscribed circle?
2 Answers
Area of circumscribed circle is
Explanation:
The three corners are
Distance between two points
Side
Side
Side
Area of Triangle is
Radius of circumscribed circle is
Area of circumscribed circle is
Explanation:
Allow me to illustrate the proper method; no square roots needed. Please contrast this with the other answer, which is a typical good answer.
Archimedes' Theorem says for a triangle with sides
The radius of the circumcircle equals the product of the sides of the triangle divided by four times the area of the triangle. This is more useful squared:
That all we need to do our problem.