Question

10 a circle has a center at (-2,3). the point (2,6) lies on the circle. what is the circumference of the circle? a. 5π b. 5 c. 10π d. 10

Explanation:

Step1: Calculate the radius

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \((x_1,y_1)=(-2,3)\) and \((x_2,y_2)=(2,6)\).

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Step2: Calculate the circumference

Use the formula \(C=2\pi r\). Substitute \(r = 5\) into the formula.

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Answer:

C. \(10\pi\)