Question

Q: Find (i) The area and (ii) The perimeter of the shaded region in each of the following figures given that all arcs are either quadrant or semicircles.

(please help me solve this and tell me how to solve it properly!)​

Answer 1

Explanation:

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Answer 2

Shaded area = 42.1 cm^2

Shaded perimeter = 44 cm

Explanation:

See the attached worksheet. The approach is the subtract the 4 semicircle areas from the total quare area to obtain the area of the shaded region. The perimeter is calculated by the perimeter of one complete circle. Since all four semicircles are 1/4 of the full circle, the total perimeter is equivalent to one full circle.