Year 10

Annuli, sectors and area constraints

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Practise the method.

Example 1

Annulus
AnnulusAnnulus with unknown outer radius x, ring width 2 cm and area 72 square centimetres. Diagram not to scale. Use the labelled measurements.r = x cmRing width 2 cm
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Example 2

Circular sector
Circular sectorSector with radius 12 cm and angle 150 degrees. Diagram not to scale. Use the labelled measurements.12 cm150°
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Example 3

Annulus
AnnulusAnnulus with unknown outer radius x, ring width 2 cm and area 36 square centimetres. Diagram not to scale. Use the labelled measurements.r = x cmRing width 2 cm
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Answer: