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Geometry

Quick questions on Circles and their equations - ACT Mathematics

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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A circle has diameter 14. Find its circumference in terms of π\pi. [1 point]
What is q2?
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Find the centre and radius of (x2)2+(y5)2=16(x - 2)^{2} + (y - 5)^{2} = 16. [1 point]
What is sign error in the centre?
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The centre is (h,k)(h, k) where xhx - h and yky - k vanish, so (x+1)2(x + 1)^{2} gives h=1h = -1.

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