The largest area of a trapezium inscribed in a semi-circle of radius

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

R

, if the lower base is on the diameter, is (a)

\frac{3\sqrt{3}}{4}R^2

(b)

\frac{\sqrt{3}}{2}R^2

(c)

\frac{3\sqrt{3}}{8}R^2

(d)

R^2