Answer:
The correct option is D. 13.0 unit
Therefore the Radius of a Circle is 13.0 unit (nearest tenth of a unit)
Step-by-step explanation:
Given:
Let C be the center of a Circle
C = (x₁ , y₁) = ( 5 , 4)
Let A be the point on a Circle
A = (x₂ , y₂) = ( 12 , 15)
To Find:
Radius, CA = ?
Solution:
Radius :
The radius of a circle is the distance from the center of the circle to any point on its Circle.
So By Distance Formula Between Two point is given as
[tex]l(CA) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]
Substituting the values we get
[tex]l(CA) = \sqrt{((12-5)^{2}+(15-4)^{2} )}[/tex]
[tex]l(CA) = \sqrt{((7)^{2}+(11)^{2} )}[/tex]
[tex]l(CA) = \sqrt{(49+121)}=\sqrt{170}=13.03\ unit[/tex]
Therefore the Radius of a Circle is 13.0 unit
