Question

12. A circle has a center at C(2,5) and a point on the circle has coordinates A(8, 13). Could the point B lie on
the same circle if lies at B(9.1)? Justify.

Answer 1

Answer:

No.

Step-by-step explanation:

A circle is defined as a figure in which all points are equidistant from the center, or C.  In order to determine how far points A and B are from the center, we must first find the difference in positioning from (2,5) to each point and then use Pythagorean Theorem to calculate the length of the hypotenuse.  Point A establishes that the radius of the circle must be 10 units, and Point Bis only about 8 units away.