A circle that originally had a circumference of 31.4 cm, now has a circumference of 15.7 cm. What happened to the radius? It was doubled. It was divided by two. It was quadrupled. It was divided by four.

Respuesta :

The radius was divided by 2.


31.4 = 2pi * r


31.4/2pi = 15.7/pi


15.7 = 2pi * r


15.7/2pi = 7.85/pi


(7.85/pi) / (15.7/pi) = 1/2

Answer:

radius was divided by   2

Step-by-step explanation:

A circle that originally had a circumference of 31.4 cm, now has a circumference of 15.7 cm

Circumference of a circle formula =  [tex]2\pi r[/tex]

where 'r' is the radius of a circle

circumference of 31.4 cm

31.4  =  [tex]2\pi r[/tex]

the value of pi is 3.14

31.4  =  [tex]2*3.14 r[/tex]

divide both sides by 3.14 *2

r=5

circumference of 15.7 cm.

15.7  =  [tex]2\pi r[/tex]

the value of pi is 3.14

15.7  =  [tex]2*3.14 r[/tex]

divide both sides by 3.14

[tex]r=2.5[/tex]

Originally the radius = 5 cm and now the radius is 2.5 cm

It was divided by 2