Question

A circle whose center is at (1, -3) passes through (7, 5).

Answer 1

Answer:

10 units

Step-by-step explanation:

Length of the radius of the circle will be equal to the distance between the center of the circle and the point through which it passes.

Therefore,

Length of radius

$= \sqrt{(1 - 7)^{2} + {( - 3 - 5)}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + ( - 8)^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units$