<p>If the point (3,4) is on a circle with center (0,0), which of the following points is outside the circle?</p>
<p>A. (2,4)
B. (5,0)
C. (-3,-4)
D. (-2,-5)
E. (-4,-3)</p>
<p>Using the distance formula, I got that the radius was 5. Then I saw that (-2,-5) couldn't be right because 5 south of the radius would be (0,-5) and not (-2,-5). I picked D as my answer but when I looked at the answer key, it said C. I redid the distance formula and found that (-2,-5) was over 5 squares away so it should've been the answer. Did I just get a faulty answer key?</p>
<p>And if not, how do you solve these types of problems?</p>
<p>Your answer is correct</p>
<p>Okay,</p>
<p>If the point (3,4) is on a circle with center (0,0), which of the following points is outside the circle?</p>
<p>A. (2,4)
B. (5,0)
C. (-3,-4)
D. (-2,-5)
E. (-4,-3)</p>
<p>Write out the equation for the function in this case. The funtion would look like
x^2+y^2=25
since the center is (0,0) and point (3,4) is on this circle. Getting the radius would be easy
because you can just plug the (3,4) into the uncompleted equation;
9+16= 25
Therefore, the r squared value is for sure, 25.</p>
<p>Now, the question asks you to identify the point outside the circle; you need an inequality for that.
Change your function to this: x^2+y^2>25
This means that the dots that lie in the region that satisfies this inequality are outside the circle because they don’t equal 25 or less when plugged into the original equation.</p>
<p>So now, just see if each answer choice satisfies the inequality.</p>
<p>D is the answer because,
4+25=29, which is greater than 25. 29>25</p>
<p>Hope this helped ! :)</p>