smc-4445-20-Find circle equation

Circles and Hyperbolas, SMB-013

Write down the equation of the circle with centre `(1, -2)` and radius 2. (1 mark)

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On the graph, sketch the circle in part (a). (2 marks)

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a. `(x-1)^2 + (y+2)^2 = 4`

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a. `text{Circle with centre}\ (1,-2),\ r = 2:`

`(x-1)^2 + (y+2)^2 = 4`

Write down the equation of the circle with centre `(0, -3)` and radius 4. (1 mark)

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`x^2 + (y+3)^2 = 16`

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`text{Circle with centre}\ (0, -3),\ r = 4:`

`x^2 + (y+3)^2 = 16`

Write down the equation of the circle with centre `(-1, 2)` and radius 5. (1 mark)

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`text{Circle with centre (-1,2)},\ r = 5`

`(x + 1)^2 + (y-2)^2 = 25`

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MARKER’S COMMENT: Expanding this equation is not necessary!

`text{Circle with centre}\ (-1, 2),\ r = 5`

`(x + 1)^2 + (y-2)^2 = 25`