Diameter of semicircle = 1
Area of semicircle = Pi/8
Area of triangle = 0.25
Area outside triangle = (Pi/8) - 0.25 = 0.1427 (rounded to 4th decimal).
The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
incenter and centroidIncenter, CentroidThe inscribed circle.
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
The circumference of the large semicircle is pi-r radius of the smaller semi circles are r1 r2 r3 r4... thus their circumference is pi-r1 pi-r2 so on.. pi-r = pi(r1+r2+r3..)
usually: 1/2 b x h
Its "incenter" will not fall outside the triangle, or outside the base of the triangle.
you score 3 points
It doesn't ever fall outside of a triangle.
Circumscribed; something drawn the OUTSIDE of a shape. Inscribed; Something drawn around the INSIDE of a shape.
A bigger triangle.
A point outside the triangle may.
The orthocenter of a triangle is found at the intersection of the three altitudes of the triangle. Obtuse triangles contain altitudes which are found outside of the triangle, meaning their orthocenter must be outside of the triangle as well.