Question

Consider the circle centered at the origin and passing through the point (-8, 0). (a) Give the equation of the circle. (b) For each point, decide whether or not it is on the circle. Is the point on the circle? (x, y) Yes No ($sqrt{15}$, -7) (7, $sqrt{15}$) (0, -9) (8, 0)

          Consider the circle centered at the origin and passing through the point (-8, 0).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle.
Is the point on the circle?
(x, y)
Yes
No
($sqrt{15}$, -7)
(7, $sqrt{15}$)
(0, -9)
(8, 0)

Consider the circle centered at the origin and passing through the point (-8, 0).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle.
Is the point on the circle?
(x, y)
Yes
No
(sqrt15, -7)
(7, sqrt15)
(0, -9)
(8, 0)

Added by Catherine A.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Sri K

05/04/2022

Step 1

The general equation of a circle centered at the origin is x² + y² = r², where r is the radius of the circle. Since the circle passes through the point (8, 0), the radius of the circle is 8. Therefore, the equation of the circle is x² + y² = 8² = 64. Now, let's Show more…

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Consider the circle centered at the origin and passing through the point (-8, 0). (a) Give the equation of the circle. (b) For each point, decide whether or not it is on the circle. Is the point on the circle? (x, y) Yes No (sqrt(15), -7) (7, sqrt(15)) (0, -9) (8, 0)