Question 1180476
What is the radius of a circle if it is equal in area to a triangle with an altitude of 4 and a base of 16?
:
circle area = triangle area
{{{pi*r^2}}} = {{{1/2}}}*16*4
{{{pi*r^2}}} = 32
{{{r^2}}} = {{{32/pi}}}
r = {{{sqrt(32/pi)}}}
r = {{{4*sqrt(2/pi)}}} ~ 3.19154 is the radius