Question

Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. What lengths can he use for the radius

Answer 1

Let r  =  radius of the circle.
The circumference is C = 2πr.
The area is A = πr^2.

Because the circumference is greater than the area, therefore
$2 \pi r\ \textgreater \ \pi r^{2}$
$1\ \textgreater \ \frac{ \pi r^{2} }{2 \pi r}$
$1\ \textgreater \ \frac{r}{2}$

Therefore the radius should satisfy
r < 2

Answer 2

Answer:

(A) 1/2   (B) 1    (C) 1.5

Step-by-step explanation:

The first three choices will result in a numerical value for the radius that is smaller than the area.

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