Question #a9c2e

1 Answer
May 29, 2017

Answer:

Yes, there is a way that you could construct a circle that has the exact same area as a triangle or quadrilateral. See explanation. (I used a perfect square for my explanation).

Explanation:

Yes, I believe so. the way you could do this is by making the lengths of the sides of the square as so that they derive from #pi#.

#A = pi r^2#

#A = l xx w#

#A = (bh)/2#

we could make the side lengths of the square #pi# units, and the other side the #"radius of the circle"^2#

#A = pi r^2#
#A = pi 4^2#
#=50.2655#

#A = l xx w#
#A = pi xx 16#
#=50.2655#

The same could be done with a Triangle.

#A = (bh)/2#
#A = (pi 32)/2#
#A = 100.531/2#