A triangle has corners at #(7 ,8 )#, #(2 ,3 )#, and #(1 ,4 )#. What is the area of the triangle's circumscribed circle?

1 Answer
CW
Aug 29, 2016

Area of the circle = 1.2752

Explanation:

the triangle is a right-angled triangle. The side lengths are #sqrt2,sqrt50 and sqrt52, respectively#
Triangle area (A) = #1/2xxsqrt2xxsqrt50=sqrt100/2=10/2=5#
triangle perimeter (P) = #sqrt2+sqrt50+sqrt52=15.696#
inradius (R)= #2A/P=2xx5/15.696=0.6371#
Area of the circle = #pixxR^2=pixx0.6371^2=1.2752#

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