MathDB

Let

C_1

C_2

and

C_3

be three parallel chords of a circle on the same side of the center. The distance between

C_1

and

C_2

is the same as the distance between

C_2

and

C_3

. The lengths of the chords are 20, 16, and 8. The radius of the circle is

\text{(A)} \ 12 \qquad \text{(B)} \ 4\sqrt{7} \qquad \text{(C)} \ \frac{5\sqrt{65}}{3} \qquad \text{(D)} \ \frac{5\sqrt{22}}{2} \qquad \text{(E)} \ \text{not uniquely determined}

Problem Statement