# How To Write The Equation Of A Circle

|To acquisition the blueprint of a amphitheater back you apperceive the ambit and centre, use the blueprint ({(x – a)^2} {(y – b)^2} = {r^2}), area ((a,b)) represents the centre of the circle, and (r) is the radius.

This blueprint is the aforementioned as the accepted blueprint of a circle, it’s aloof accounting in a altered form.

Find the blueprint of the amphitheater with centre ((2, – 3)) and ambit (sqrt 7).

[{(x – 2)^2} {(y – ( – 3))^2} = {left( {sqrt 7 } right)^2}]

[{(x – 2)^2} {(y 3)^2} = 7]

If appropriate for added assignment you can aggrandize this to give:

[{x^2} – 4x 4 {y^2} 6y 9 – 7 = 0]

[{x^2} {y^2} – 4x 6y 6 = 0]

Find the blueprint for the amphitheater with centre (= (1,2)) and ambit (= sqrt 5)

[{(x – 1)^2} {(y – 2)^2} = {left( {sqrt 5 } right)^2}]

[{x^2} – 2x 1 {y^2} – 4y 4 = 5]

[{x^2} {y^2} – 2x – 4y = 0]

Find the blueprint for the amphitheater with centre (= (0,0)) and ambit (= 4)

[{(x – 0)^2} {(y – 0)^2} = {left( 4 right)^2}]

[{x^2} {y^2} – 16 = 0]

How To Write The Equation Of A Circle – How To Write The Equation Of A Circle

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