The figure is made up of 2 identical quarter circles in a rectangle.
Find the perimeter of the shaded part. (Take )

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Worked solution
12
1. Find the length of the top side of the rectangle
The radius of each quarter circle is cm. The top side of the rectangle is equal to the sum of the two horizontal radii at the bottom.
Length of top side cm
2. Find the total length of the curved arcs
The two identical quarter circles make up a semicircle. The length of the curved arcs is the circumference of a semicircle with radius cm.
Length of arcs cm
3. Calculate the total perimeter of the shaded part
Total perimeter cm
Answer
cm (option 3)
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