Question

An earthquake can be felt in a circular pattern from the epicenter. if the equation of this pattern is x2 + y2 = 4900, how many miles away from the epicenter can you feel the effects of the earthquake?

Answer 1

General formula for circle is:

`x^(2) +y^(2) = r^(2)`

Where:
x and y are coordinates of center of a circle
r is radius

Now we compare this to a given equation;

`x^(2) +y^(2) = r^(2)`
We can see:

`r^(2)=4900`

`r=70`

Earthquake can be felt in a radius of 70 miles.