Question

The figure is made up of two shapes, a semicircle and a square.

Answer 1

Answer:

$4\pi + 12$

Step-by-step explanation:

The perimeter of a square is P = 4s where s is the side length. The perimeter of the square is P = 4*4 = 16 cm. However, one side is covered by a semi circle and its length of 4 cm is not a part of the perimeter. So it is 16 - 4 = 12. The perimeter of the square s 12.

To find the perimeter of a semi-circle use the circumference formula. The circumference is $C = 2\pi d$. However, since a semi circle is half a circle then the circumference is $C = \pi d$. Since the semi-circle adjoins the square, its diameter is the side length of the square 4cm.

$C = \pi * 4 \\C= 4\pi$

So the total perimeter is $4\pi + 12$