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Mensuration: Areas and Volumes · Question 16 of 68

Question 16

EasyOriginal question

A window is shaped like a semicircle of radius 14 cm. What length of metal strip is needed to go all round its edge, including the straight edge? Take π=227\pi = \frac{22}{7}.

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Curved edge = half the circumference = πr=227×14=44\pi r = \frac{22}{7} \times 14 = 44 cm.

  2. Straight edge = diameter = 28 cm.

  3. Total = 44+28=7244 + 28 = 72 cm.

Worth noting

44 cm leaves out the straight edge, and 88 cm is the full circle's circumference.

Concept
Perimeter of a semicircle = πr + 2r
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.