A circle has centre `(5,3)` and radius 3.
- Describe, with inequalities, the region that consists of the interior of the circle and more than 2 units above the `x`-axis. (2 marks)
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- Sketch the region. (1 mark)
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Show Answers Only
i. `(x-5)^2 + (y-3)^2 < 9\ ∩\ y > 2`
ii.
Show Worked Solution
i. `text(Equation of circle:)`
`(x-5)^2 + (y-3)^2 = 3^2`
`:.\ text(Region is:)`
`(x-5)^2 + (y- 3)^2 < 9\ ∩\ y > 2`
COMMENT: The broken line on the graph represents an excluded boundary.
ii.