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Find the radius of a circle with an x-intercept of -2 if the circle’s center is (2,3) on a coordinate plane.

 

A.9

B.25

C.5

D.16

 Jul 25, 2019
edited by Guest  Jul 25, 2019

Best Answer 

 #1
avatar+8966 
+5

Remember, the radius of a circle is the distance between the center and a point on the circle.

 

The center of the circle is  (2, 3)

The point  (-2, 0)  is on the circle.

 

 

Let's use the distance formula to find the radius.

 

radius  =  distance between  (2, 3)  and  (-2, 0)

 

radius  =  \(\sqrt{(0-3)^2+(-2-2)^2}\)

 

radius  =  \(\sqrt{(-3)^2+(-4)^2}\)

 

radius  =  \(\sqrt{9+16}\)

 

radius  =  \(\sqrt{25}\)

 

radius  =  5

 

Here's the graph: https://www.desmos.com/calculator/bewcrh6lwk

 Jul 25, 2019
 #1
avatar+8966 
+5
Best Answer

Remember, the radius of a circle is the distance between the center and a point on the circle.

 

The center of the circle is  (2, 3)

The point  (-2, 0)  is on the circle.

 

 

Let's use the distance formula to find the radius.

 

radius  =  distance between  (2, 3)  and  (-2, 0)

 

radius  =  \(\sqrt{(0-3)^2+(-2-2)^2}\)

 

radius  =  \(\sqrt{(-3)^2+(-4)^2}\)

 

radius  =  \(\sqrt{9+16}\)

 

radius  =  \(\sqrt{25}\)

 

radius  =  5

 

Here's the graph: https://www.desmos.com/calculator/bewcrh6lwk

hectictar Jul 25, 2019

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