natsgirl14p4tqyu
contestada

The figure consists of two quarter circles and a
square. What is the perimeter of this figure?
Use 3.14 for π .
82.24 in.
114.24 in.
132.48 in.
164.48 in.
(A square with sides measuring 16 in and has two quarter circles attached with with the same measurements.)

Respuesta :

calculista

Answer:

The perimeter of the figure is [tex]114.24\ in[/tex]

Step-by-step explanation:

we know that

The perimeter of the figure is equivalent to the perimeter of a square plus the perimeter of a semicircle

step 1

Find the perimeter of square

The perimeter of square is equal to

[tex]P=4b[/tex]

where

b is the length side of the square

we have

[tex]b=16\ in[/tex]

substitute

[tex]P=4(16)=64\ in[/tex]

step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

[tex]C=\pi r[/tex]

we have

[tex]r=16\ in[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]C=3.14(16)=50.24\ in[/tex]

step 3

Find the perimeter of the figure

[tex]64\ in+50.24\ in=114.24\ in[/tex]

Otras preguntas