Let's sketch the given information as follows:

Notice that the green line represents the radius of the circle.

Let's impose a right triangle on the diagram as follows:


Let r = the radius of the circle (i.e., the green line)
Since we have a right triangle we can apply the Pythagorean Theorem to write: \(1^2 + 3^2 = r^2\)
Simplify: \(10 = r^2\)
This means \(r = \sqrt{10}\)

Circumference of circle \(= 2 \pi r\)

Substitute to get: Circumference \(= 2 \pi (\sqrt{10})\)

We have:
QUANTITY A: \(2 \pi (\sqrt{10})\)
QUANTITY B: \(10\pi\)

To make things easier on ourselves, let's use matching operations (see the video below) and divide both quantities by \(2\pi\) to get:
QUANTITY A: \(\sqrt{10}\)
QUANTITY B: \(5\)

Since \(5 > \sqrt{10}\), the correct answer is B

RELATED VIDEO (matching operations)