Circle thing.

by Gilbert Keith

Edit: I assmue you know that those two chords are perpendicular.

AE=2 EB=6 ED=3

By pythagoras’ theorem, DB=3 sqrt 5, AD = sqrt 13. Area of Triangle ABD = 8*3*0.5 = 12

The circumcircle of ABD has a radius R = AB * BD * AD/(4* Area of ABD) = 8*3 sqrt 5 * sqrt 13/ (4*12) = sqrt (65)/2

Diameter = sqrt 65

Advertisements