Question

Calculate the perimeter of the shape to the nearest whole number

Answer 1

Option B

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 =
`(1)/(4)(\text{Circumference of the circle})`

=
`(1)/(4)(2\pi r)`

=
`(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.