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Year 11 maths · G.4 · Area and Perimetre

Find sector area and arc length in terms of pi

Find the fraction of the circle: angle ÷ 360°.

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  1. An arc has a central angle of 285° on a circle with radius 24 cm. What is its length? Write it as a multiple of π.

    Answer: 38π

  2. An arc has a central angle of 180° on a circle with radius 6 cm. What is its length? Write it as a multiple of π.

    Answer: 6π

  3. An arc has a central angle of 240° on a circle with radius 9 cm. What is its length? Write it as a multiple of π.

    Answer: 12π

Tip: Find the fraction of the circle: angle ÷ 360°.

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