Apecan pie is being served for dessert. one piece of pie has an arc length of 7.85 in. it has been cut into 8 equal pieces. what is the radius of the pecan pie? (round to the nearest whole number)

10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

Where "r" is the radius and is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

Now you know the arc length and the central angle, then, you can solve for "r" from  :

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is: