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Mensuration: Areas and Volumes · Question 18 of 68

Question 18

EasyOriginal question

A curved garden border is an arc of a circle of radius 35 m, and the arc makes an angle of 72° at the centre. How long is the border? Take π=227\pi = \frac{22}{7}.

Options for question 18

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Arc length = θ360∘×2πr\frac{\theta}{360^\circ} \times 2\pi r.

  2. = 72360×2×227×35=15×220=44\frac{72}{360} \times 2 \times \frac{22}{7} \times 35 = \frac{1}{5} \times 220 = 44 m.

Worth noting

22 m uses πr instead of 2πr. 770 comes from the sector-area formula, and it would be square metres, not metres.

Concept
Arc length of a sector
Typical time
40 s
Your time
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The rule this testsCircles, rings and sectors
Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.

Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.