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) } \\ = √(4 + 4) \\ = √(8)`

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

Hope it helps!