Solve the problem. Round your answer to two decimal places.
-The area of a circle varies directly as the square of the radius of the circle. If a circle with a radius of 5 inches has an area of $78.5$ square inches, what is the area of a circle with a radius of 14 inches?
A) $43.96 \mathrm { in } ^ { 2 }$
B) $615.44 \mathrm { in } ^ { 2 }$
C) $617.84 \mathrm { in } ^ { 2 }$
D) $87.92 \mathrm { in } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a circle is given by the formula $A = \pi r^2$, where $A$ is the area and $r$ is the radius. Since the area varies directly with the square of the radius, we can set up a proportion based on the given information: $\frac{78.5}{5^2} = \frac{A}{14^2}$. Solving for $A$ gives us the area of the circle with a radius of 14 inches as $615.44 \mathrm { in } ^ { 2 }$.

Solve the Problem 78.578.578.5 Square Inches, What Is the Area of a Circle with

Solve the Problem $78.5$ Square Inches, What Is the Area of a Circle with