Question

coordinate proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.
the center of circle ( c ) is at ( (6,2) ), with a radius of 5. in order to prove that point ( d(6,-3) ) lies on the circle, what does the length of segment ( cd ) need to be? (1 point)
segment ( cd ) must have a length of
check answer remaining attempts: 9

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(C(6,2)\) and \(D(6,-3)\), so \(x_1 = 6,y_1=2,x_2 = 6,y_2=-3\).

Step2: Substitute values into the formula

\(CD=\sqrt{(6 - 6)^2+(-3 - 2)^2}=\sqrt{0+(-5)^2}=\sqrt{25}\)

Step3: Simplify the expression

\(\sqrt{25}=5\)

Answer:

\(5\)