## Algebra and Trigonometry 10th Edition

Area of the circle = $\pi r^2=\pi (40)^2=1600\pi$ A = $\pi ab= \pi a(100-a)$ (area of the ellipse given a+b=100) $1600 \pi = \pi a(100-a)$ 1600 = a(100-a) $a^2-100a+1600=0$ (a-80)(a-20)=0 a = 80 giving b=20 or a=20 giving b=80