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mars1129 [50]
2 years ago
5

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

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
5 0

Answer:

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

Step-by-step explanation:

<u><em>Step(i):-</em></u>

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

<u><em>Step(ii):-</em></u>

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}

<u><em>Final answer:-</em></u>

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

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