The center of circle A is at (4,4) , with a radius of 3. What should Negin’s first step be to prove that the point B(7,4) lies on the circle? (1 point) Responses Negin should calculate the circumference of the circle. Negin should calculate the circumference of the circle. Negin should calculate the area of the circle. Negin should calculate the area of the circle. Negin should approximate the distance from A to B . Negin should approximate the distance from upper A to upper B . Negin should use the distance formula to calculate the length of segment AB . Negin should use the distance formula to calculate the length of segment upper A upper B .
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To prove that point B(7,4) lies on circle A, Negin’s first step should be to calculate the length of segment AB using the distance formula.
The distance formula is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
In this case, Negin can use the coordinates of center A (4, 4) and point B (7, 4) to determine if the distance equals the radius of the circle, which is 3.
Hence, the correct response is: Negin should use the distance formula to calculate the length of segment AB.
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