Question

what is the diameter of this circle?

Explanation:

Step1: Identify vertical points

The top point is at \( y = 10 \), bottom at \( y = -4 \).

Step2: Calculate vertical distance

Distance \( = 10 - (-4) = 14 \)? Wait, no, check grid. Wait, center is at \( (0, 3) \)? Wait, no, the top point is \( (0,10) \), bottom is \( (0, -4) \). Wait, the vertical distance between \( y = 10 \) and \( y = -4 \) is \( 10 - (-4) = 14 \)? Wait, no, maybe count grid units. Wait, from \( y = -4 \) to \( y = 10 \), the number of units: \( 10 - (-4) = 14 \)? Wait, no, let's see the center. The center is at \( (0, 3) \)? Wait, no, the dot is at \( (0, 3) \)? Wait, the top point is \( (0,10) \), so radius is \( 10 - 3 = 7 \), so diameter is \( 2 \times 7 = 14 \). Wait, or from \( y = -4 \) to \( y = 10 \), the distance is \( 10 - (-4) = 14 \), which is diameter.

Step1 (correct): Find vertical extent

Top point: \( (0, 10) \), bottom point: \( (0, -4) \).

Step2: Calculate distance

Diameter \( = 10 - (-4) = 14 \).

Answer:

14