Question

Nala is designing a piece of jewelry made of wire that has the shape shown below. It consists of two sides of a square and three-quarters of a circle. To the nearest tenth, what is the length of wire needed? Note that no wire is needed along the dashed line segment. (the curved part is three fourths the circumference)

(1) 14.1


(2) 18.4


(3) 20.1


(4) 24.8

Answer 1

Option (3) is the answer.

Explanation:

Given question is incomplete; find the complete question in the attachment.

Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.

Perimeter of the whole figure will give us the length of wire needed to design the jewelry.

Perimeter of three fourth of a circle P(circle) =
`(3)/(4)(2\pi r)`

Here, r = radius

P(circle) =
`(3\pi (3))/(2)`

= 14.14 cm

Perimeter of the complete (composite) figure = 14.14 + 3 + 3

= 20.13

≈ 20.1 cm

Therefore, Option (3) is the answer.