Question

The area of a circle of radius $5$ is numerically what percent of its circumference?

• A. $200$
• B. $225$
• C. $240$
• D. $250$

Answer 1

The correct option is D $250$

Area $=\pi r^2$

$=\pi (5{)}^2=25\pi$ Circumference $=2\pi r$

$=\pi (2\times 5)$

$=10\pi$

$x\%$

$x\%$ of Circumference = Area

$\frac{x}{100}\times 10pi=25\pi$

$x=250\%$