Question

Thank you very much ! Don't forget to show your work please.

Answer 1

10.  angle APB = (1/2) arc AB
       108 = (1/2) arc AB
       multiply both sides by 2 to clear the fraction
       216 = arc AB

11.  Area of regular Octagon s = 5 in
       A = (P * apothem)/2  => => If you divide the octagon into 8 triangles, the apothem is the perpendicular height of the triangle.
       A = (5 * 8 * 6)/2
       A = 120 in^2
        
       Area of regular Hexagon s = 5 in
       A = (5 * 6 * 4.3)/2
        A = 129 in^2