Question

Calculate the perimeter of the shape to the nearest whole number

Answer 1

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 = $\frac{1}{4}(\text{Circumference of the circle})$

      = $\frac{1}{4}(2\pi r)$

      = $\frac{1}{2}(\pi )(9)$

      = 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.