Question 80648
The area of the slice is
{{{pi*r^2 / 16}}}
{{{100*pi / 16}}}
The each gets 1/2 of this slice, or
{{{100*pi / 32}}}
The slice without the crust is an equailateral triangle
and the agle between the equal legs is {{{360 / 16}}} degrees
or, {{{22.5}}} degrees
This equilateral is made up of 2 right triangles
with angle {{{11.25}}} degrees
{{{tan(11.25) = .1989}}}
{{{.1989 = b/h}}}
{{{b = .1989h}}}
Area of slice is {{{100*pi / 32}}}
Area of right triangle is {{{100*pi / 64}}}
{{{100*pi / 64 = (1/2)*.1989h^2}}}
{{{100*pi = 32*.1989h^2}}}
{{{h^2 = 100*pi / 32*.1989}}}
{{{h^2 = 49.36}}}
{{{h = 7.026}}} answer
check
{{{b = .1989h}}}
{{{b = .1989*7.026}}}
{{{b = 1.397}}}
The {{{b*h}}} should equal the area of the slice
{{{100*pi / 32 = 7.026*1.397}}}
{{{9.817 = 9.815}}}
This is accurate to 2 places, my rounding off must
make the 3rd place off