Question

An earthquake can be felt in a circular pattern from the epicenter. If the equation of this pattern is x2 + y2 = 2500, how many miles away from the epicenter can you feel the effects of the earthquake?

Answer 1

Answer:

We can feel the effects of the earthquake 50 miles from the epicenter.

Step-by-step explanation:

The given expression is

$x^{2} +y^{2}=2500$

Which represents a circumference. So, if this circunference represents the pattern of an earthquare, that means the radius of such circumference represents the miles away from the epicenter.

The given expression is the explicit form of a circumference, like this

$x^{2} +y^{2}=r^{2}$

Where $r$ is the radius.

So, in this case,

$r^{2}=2500\\ r=\sqrt{2500}\\ r=50$

Therefore, we can feel the effects of the earthquake 50 miles from the epicenter.

Answer 2

The radius of the circle ( which is the same as the distance from the epicenter) = square root of 2500  which is 50

Answer is 50 miles.