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Bunuel
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We don't need to find a distance between two points since both points is on x=5 and "moves" along y coordinate. Just finding the difference between y coordinates is enough to find the radius.

8-4=4 so r equals 4,thus circumference is 2{\pi}*r=2*pi*4=8*pi

Answer (D)
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Since there is a straight line through the circle because the two coordinates are (5, 8) and (5, 4), calculate the distance between the two y coordinates: 8 - 4 = 4. Hence 4 is the radius.

The equation for circumference of a circle is 2*pi*radius. Thus 2*pi*4 = 8*pi (Option D).
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Bunuel

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png

From the diagram, we see that the radius of circle C is 8 - 4 = 4; thus, the circumference is 2π x 4 = 8π.

Answer: D
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Bunuel

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png


Radius of circle = 8 - 4 = 4

Circumference = \(2πr\)

\(2*4*π\)

\(8π\)

(D)
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