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Mathematics

Grade9

Easy

Question

Suppose AB is divided into four congruent segments, and semicircles with radius r are drawn. What is the sum of the four arc lengths if the radius of each arc is r?

2 $π$ r
$\frac{4 π r}{3}$
4 $π$ r
3 $π$ r

hint Hint:

Arc length of one arc = half of circumference = $pi r$

The correct answer is: 4 $pi$ r

Arc length of one arc = half of circumference = $pi r$
4 Arcs: 4 $pi$ r

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