Question

The circle passes through left parenthesis 1 comma 4 right parenthesis, left parenthesis 4 comma 7 right parenthesis, left parenthesis 7 comma 4 right parenthesis, and left parenthesis 4 comma 1 right parenthesis.


The center of circle A
𝐴
is at (4,4)
(
4
,
4
)
, with a radius of 3. What should Negin’s first step be to prove that the point B(7,4)
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 approximate the distance from A
𝐴
to B
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
𝐴
𝐵
.
Negin should use the distance formula to calculate the length of segment upper A upper B .

Negin should calculate the area of the circle.

Answer 1

Negin should use the distance formula to calculate the length of segment AB.

Compute AB = sqrt((7−4)^2 + (4−4)^2) = sqrt(9) = 3, which equals the radius, so B lies on the circle.