Question

The center of a circle is at the point (4, 3). The circle passes through the point (2, 1). What is the radius of the circle?

Answer 1

To find the radius of the circle,we would have to find the length between the point and the centre.

We can use the distance formula to find its length,here's the formula:

$\sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }$

In this case,here's what we can do:

$\sqrt{ {(3 - 1)}^{2} + {(4 - 2)}^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8}$

Thus,the answer is _/8,which can also be written as ≈2.828(correct to 3 demical places)

Hope it helps!