A triangle has corners at #(5 ,8 )#, #(3 ,9 )#, and #(4 ,7 )#. What is the area of the triangle's circumscribed circle?

1 Answer
CW
Aug 28, 2016

the area of the circle inscribed = 0.8160

Explanation:

the triangle is isoceles, side lengths = #sqrt5, sqrt5 and sqrt2#
triangle area (A) = #1/2xxsqrt2xx3/sqrt2=3/2#
triangle perimeter (P) = #sqrt5+sqrt5+sqrt2=2sqrt5+sqrt2=5.8863#
inradius (r) =#(2A)/P# =# 2xx1.5/5.8863=0.50965#
area of the circle = #pixxr^2 = pixx(0.50965)^2#
# =0.8160#

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