Final answer:
To calculate the diameter of the circle given the endpoints of the diameter, use the distance formula. The endpoints (-2, 12) and (3, 0) result in a diameter of 13 units for the circle.
Step-by-step explanation:
The question we're addressing involves finding the diameter of a circle when given the endpoints of the diameter. To calculate the diameter of the circle, we use the distance formula to find the distance between the two points, which are (-2, 12) and (3, 0). The distance formula is derived from the Pythagorean theorem and is expressed as:
d = √[(x2 - x1)² + (y2 - y1)²]
By plugging in the coordinates, we find:
d = √[(3 - (-2))² + (0 - 12)²] = √[(5)² + (-12)²] = √[25 + 144] = √169 = 13
Therefore, the diameter of the circle is 13 units.