Write the specified quantity as a function of the specified variable.
-A circle is inscribed in a square. Write the area of the square as a function of the radius.
A) $\mathrm { A } = 2 \mathrm { r } ^ { 2 }$
B) $\mathrm { A } = 2 \mathrm { r }$
C) $\mathrm { A } = \mathrm { r } ^ { 3 }$
D) $A = 4 r ^ { 2 }$

Question

Quizplus · Accepted Answer

The diameter of the circle is equal to the side length of the square. Since the diameter is twice the radius ($2r$), the area of the square ($A$) is the side length squared, which is $(2r)^2 = 4r^2$.

Write the Specified Quantity as a Function of the Specified A=2r2\mathrm { A } = 2 \mathrm { r } ^ { 2 }A=2r2

Write the Specified Quantity as a Function of the Specified $\mathrm { A } = 2 \mathrm { r } ^ { 2 }$