Question

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

5
25
16
9

Answer 1

hello : 
 let : A(2;3) and : P(-2; 0)
the radius of a circle is : AP = √((2+2)² +(3-0)²)=√25 = 5

Answer 2

Radius of the circle is option (1) 5 units

What is radius?

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

What is circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center

Center of the circle is (2,3) on a coordinate plane,

Radius of the circle with an x intercept of -2

There for the point is (-2,0)

Distance between the (2,3) and (-2,0) = Radius of the circle

Distance between (2,3) and (-2,0)

D= $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$

Substitute the values

$D=\sqrt{(-2-2)^{2}+(0-3)^{2} }\\D=\sqrt{16+9} \\D=\sqrt{25}\\ D=5$

Hence, the radius of the circle is option (1) 5 units

Learn more about radius and circle here

https://brainly.com/question/11137975

#SPJ2