what is the measure of the radius, c, rounded to the nearest hundreth? use an appropriate trigonometric ratio to solve. 5.88 8.09 12.36 17.01​

what is the measure of the radius c rounded to the nearest hundreth use an appropriate trigonometric ratio to solve 588 809 1236 1701 class=

Respuesta :

Answer:

The measure of the radius c is [tex]12.36\ cm[/tex]

Step-by-step explanation:

we know that

The central angle of a regular pentagon is equal to

[tex]\frac{360\°}{5}= 72\°[/tex]

In the right triangle of the figure

[tex]cos(72\°/2)=\frac{10}{c}[/tex]

[tex]c=\frac{10}{cos(36\°)}=12.36\ cm[/tex]