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NSWMaths Standard 2Quick questions

Year 11: Measurement

Quick questions on Area of circles, sectors and composite shapes for HSC Maths Standard 2

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 the area of a sector?
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A sector is the region between two radii and the arc joining them, like a slice of pizza. Its area is simply a fraction of the whole circle, and that fraction is the central angle θ\theta measured against the full turn of 360360^\circ:
What is the annulus?
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An annulus is the flat ring between two circles that share a centre - think of a washer, a CD, or a paved border round a pond. Its area is the big circle minus the small circle. With outer radius RR and inner radius rr,
What are composite shapes?
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A composite shape is a figure made from simpler pieces. The method is always the same:

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