Respuesta :

Answer:

[tex]r = 35cm[/tex]

Step-by-step explanation:

Given

[tex]C = 220cm[/tex]

[tex]\pi = \frac{22}{7}[/tex]

Required

Determine the radius

Circumference (C) is calculated as:

[tex]C = 2\pi r[/tex]

Where r represents radius

Substitute values for C and [tex]\pi[/tex]

[tex]220cm = 2 * \frac{22}{7} * r[/tex]

[tex]220cm = \frac{44}{7} * r[/tex]

Multiply through by 7/44

[tex]\frac{7}{44} * 220cm = \frac{7}{44} * \frac{44}{7} * r[/tex]

[tex]r = \frac{7}{44} * 220cm =[/tex]

[tex]r = \frac{7 * 220cm }{44} =[/tex]

[tex]r = \frac{1540\ cm}{44}[/tex]

[tex]r = 35cm[/tex]

Hence, the radius is 35cm