Find the requested measurement.
-The point (-2, -3)is on a circle that has center (-2, 4). Find the length of the diameter of the circle.
A)3.5
B)14.5
C)13
D)14

Question

Quizplus · Accepted Answer

The length of the diameter of the circle can be found by first calculating the radius, which is the distance between the center of the circle (-2, 4) and a point on the circle (-2, -3). Using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, we find the radius to be $\sqrt{(-2 - (-2))^2 + (-3 - 4)^2} = \sqrt{0 + 49} = 7$. The diameter, being twice the radius, is $2 \times 7 = 14$.

Find the Requested Measurement