Calculate the perimeter of the shape to the nearest whole number

Answer:
Option B
Step-by-step explanation:
Perimeter of the given figure = Sum of measures of all sides
= AB + BC + CA
Since, AB = BC = 9 cm (Radii)
CA = Length of arc CA which is the quarter of the circumference of a circle with radius 9 cm
CA = [tex]\frac{1}{4}(\text{Circumference of the circle})[/tex]
= [tex]\frac{1}{4}(2\pi r)[/tex]
= [tex]\frac{1}{2}(\pi )(9)[/tex]
= 14.14 cm
Now perimeter of the shape = 9 + 9 + 14.14
= 32.14 cm
≈ 32 cm
Therefore, Option B will be the correct option.