a circle has a diameter with endpoints (-4, 2) and (2, 10). what is the length of the circles diameter?

Question

Accepted Answer

# Explanation:
## Step1: Recall distance formula
The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(-4,2)$ and $(x_2,y_2)=(2,10)$.
## Step2: Substitute values into formula
Substitute $x_1=-4$, $y_1 = 2$, $x_2=2$, $y_2 = 10$ into the formula:
$$
\begin{align*}
d&=\sqrt{(2 - (-4))^2+(10 - 2)^2}\
&=\sqrt{(2 + 4)^2+(8)^2}\
&=\sqrt{6^2+8^2}\
&=\sqrt{36 + 64}\
&=\sqrt{100}\
& = 10
\end{align*}
$$
# Answer:
10

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Question

Explanation:

Step1: Recall distance formula

Step2: Substitute values into formula

Answer: