Respuesta :
#1: The central angle of each slice would be found by dividing the total central angle of a circle (360°) by the number of slices (8), so:
[tex] \frac{360}{8} =45 $^{\circ}$[/tex]
Each slice would have a central angle of 45°.
#2: This question is vague, since the arc can be measured in degrees or inches. The degree measure of the intercepted arc would be 90°. The length in inches of the intercepted arc could be found using the formula:
[tex] \frac{\text{central angle measure}}{360} *2\pi r[/tex]
So, in your case, it'd be:
[tex] \frac{90}{360} *2\pi(6)= \frac{90}{360} *12\pi=3\pi \text{ inches}[/tex]
#3: The circumference of any circle is found by the equation [tex]2\pi r[/tex] wher r is the radius. So in your case it's [tex]2\pi (6)[/tex] which is [tex]12\pi[/tex].
As for the equation of the circle when graphed, it's:
[tex](x-2)^2+(y+3)^2=36[/tex]
[tex] \frac{360}{8} =45 $^{\circ}$[/tex]
Each slice would have a central angle of 45°.
#2: This question is vague, since the arc can be measured in degrees or inches. The degree measure of the intercepted arc would be 90°. The length in inches of the intercepted arc could be found using the formula:
[tex] \frac{\text{central angle measure}}{360} *2\pi r[/tex]
So, in your case, it'd be:
[tex] \frac{90}{360} *2\pi(6)= \frac{90}{360} *12\pi=3\pi \text{ inches}[/tex]
#3: The circumference of any circle is found by the equation [tex]2\pi r[/tex] wher r is the radius. So in your case it's [tex]2\pi (6)[/tex] which is [tex]12\pi[/tex].
As for the equation of the circle when graphed, it's:
[tex](x-2)^2+(y+3)^2=36[/tex]