EmmaleahA498904 EmmaleahA498904
  • 03-11-2022
  • Mathematics
contestada

Find the radius of a circle whose arc length is 55 m and its central angle measure if 5radians.

Respuesta :

AdolphusF74433 AdolphusF74433
  • 03-11-2022

Solution:

The arc length of a circle is given by the following equation:

[tex]L=\theta R[/tex]

where theta is the central angle and r is the radius of the circle. Then, replacing the given data into the previous equation, we get:

[tex]55=5R[/tex]

solving for R, we get:

[tex]R\text{ = }\frac{55}{5}=\text{ 11}[/tex]

then, the correct answer is:

[tex]R\text{ = 11}[/tex]

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