What is the perimeter of the shaded region?
Consider the following for the next two (02) items that follow:<br>Let ABCD be the diameter of a circle of radius 6 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn with AB and BD as diameters as shown in the figure given below.
- A. 24 cm
- B. 18\pi cm
- C. 15 cm
- D. 12\pi cm ✓
Correct Answer: D. 12\pi cm
Explanation
The perimeter of the shaded region is the sum of the arc lengths of the three semi-circles. The arc length of a semi-circle is \pi r. Summing the three arcs: \pi(6) + \pi(4) + \pi(2) = 12\pi cm.
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