Solve the problem.
-A rectangle that is $x$ feet wide is inscribed in a circle of radius 36 feet. Express the area of the rectangle as a function of $x$.
A) $\mathrm { A } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \sqrt { 2,592 - \mathrm { x } ^ { 2 } }$
B) $A ( x ) = x \sqrt { 5,184 - x ^ { 2 } }$
C) $\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 5,184 - \mathrm { x } ^ { 2 } \right)$
D) $\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \sqrt { 3,888 - \mathrm { x } }$

Question

Quizplus · Accepted Answer

The diagonal of the rectangle is the diameter of the circle, which is 72 feet. Using the Pythagorean theorem, the length of the rectangle is $\sqrt{72^2 - x^2}$. The area is $x \times \sqrt{72^2 - x^2} = x \sqrt{5184 - x^2}$.

Solve the Problem xxx Feet Wide Is Inscribed in a Circle of Radius 36

Solve the Problem $x$ Feet Wide Is Inscribed in a Circle of Radius 36