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# does the point (13,16) lie on circle O with center (7,8) and radius 10? Explain your answer

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does the point (13,16) lie on circle O with center (7,8) and radius 10? Explain your answer

Jan 30, 2018

### Best Answer

#1
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The formula for a circle is (x – h)^2 + (y – k)^2 = r^2.

Now we just make the formula into our problem: (x-7)^2+(y-8)^2=10^2

Then we substitute (13,16) into the formula. If the solution is right, then (13,16) is on circle O. If not, then it's not.

(13-7)^2+(16-8)^2=100

6^2+8^2=100

36+64=100

100=100

This equation is true, so the answer is yes.

Jan 30, 2018

### 1+0 Answers

#1
+2
Best Answer

The formula for a circle is (x – h)^2 + (y – k)^2 = r^2.

Now we just make the formula into our problem: (x-7)^2+(y-8)^2=10^2

Then we substitute (13,16) into the formula. If the solution is right, then (13,16) is on circle O. If not, then it's not.

(13-7)^2+(16-8)^2=100

6^2+8^2=100

36+64=100

100=100

This equation is true, so the answer is yes.

MIRB14 Jan 30, 2018