Find the radius of the circle whose centre is (3, 2) and passes through (–5, 6).
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Equation of circle with centre (h,k) and radius r is given by
(x-h)²+(y-k)²=r
Distance between 2 points (√[(x₂-x₁)²+(y₂-y₁)²]
Coordinates of center are (3,2)
Since it passes through (-5,6)
Radius of circle is the distance between two points (3,2) (-5,6)
=(√[(x₂-x₁)²+(y₂-y₁)²]
r=√[(3+5)²+(2-6)²]
=√(64+16)
=√(80)=(4x2x2x5)= 4√ 5 units
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