Respuesta :

Answer:

  • 5.49 inches

[tex] \: [/tex]

Step-by-step explanation:

  • It is given that, The circumference of a circle is 34.48 inches and we are to find the radius of the circle.

[tex] \: [/tex]

To find the radius of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\[/tex]

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =34.48}}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ 6.28 \times r \: =34.48}}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{34.48}{6.28} }}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 5.490 }}}}} \\ \\ [/tex]

Therefore,

  • The radius of the circle is 5.49 inches (Rounded to nearest hundredth