Question

centre of a circle is (- 5,5) which passes through the point (- 2, 1) then find the radius of the circle​

Answer 1

$\huge{ \fcolorbox{red}{pink}{Solution :)}}$

Given ,

• The coordinate of centre of a circle is (-5,5)

• The point through which the circle is passes is (-2,1)

We know that , the equation of circle is given by

$\sf \fbox{{(R)}^{2} = {(x - h)}^{2} + {(y - k)}^{2} }$

Substitute the known values , we get

(R)² = (-2 - (-5))² + (1 - 5)²

(R)² = (-2 + 5)² + (-4)²

(R)² = (3)² + (4)²

(R)² = 25

R = ± 5 units

{Since , the distance can't be negative}

Thus , the radius of the circle is 5 units

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Answer 2

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