Question

Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).​

Answer 1

Answer:

The radius of the given circle ( r ) = 2√2

Step-by-step explanation:

Step(i):-

Given that the center of the circle C = ( -2,1)

Given a point on the circle P = (0,3)

The distance between the center and point is called the radius of  the circle

CP = radius of the circle

Step(ii):-

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

$CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}$

CP = √8 = $\sqrt{4 X 2} = 2\sqrt{2}$

Final answer:-

The radius of the given circle ( r ) = 2√2