Question

if the coordinates of the centre and a point on the circle are c(3 -4) and a(-2 1) respectively then the radius of the circle â€r’ =

Answer 1

Hey there !

Solution:

The Radius can be calculated by using the Distance Formula

Distance Formula = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

According to this question,

Points : ( 3, -4 ) ; ( -2, 1 )

=> x₁ = 3 ; x₂ = -2 , y₁ = -4 ; y₂ = 1

Substituting in the formula we get,

=> Distance = √ ( -2 -3 )² + ( 1 - ( -4 ) )²

=> Distance = √ ( - 5 )² + ( 5 )² => √ 25 + 25 = √ 50

Hence the distance between the centre and the point on the circle is √ 50 units. Hence the radius of the circle is √ 50 units.

Hope my answer helped !

Answer 2

H€YA!!
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◀COORDINATE GEOMETRY ▶
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◻◼Given that ,

C ( 3, -4 )

A ( -2 , 1 )

Now we need to find the Radius Of the Circle . This can be calculated by Using the Distance Formula . That is ,

$\sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$


So substituting the Values in the formula,


√ ( -2-3)^2 + (1+4)^2

= √ ( -5)^2 + (5)^2

= √ 25 + 25 = √50.

Hence The Radius is √50 units ..

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