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

(A) 1/2 (B) 1 (C) 1.5

Explanation:

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

also...

I took the test on edge 2021 got 100%

Answer 2

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 \ ( \pi r^(2) )/(2 \pi r)`

`1\ \textgreater \ (r)/(2)`

Therefore the radius should satisfy
r < 2