Answer:
[tex]A=163.9in^2[/tex]
Step-by-step explanation:
Let's use the regular polygon area formula when given the radius.
[tex]A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}[/tex]
r is radius
n is the number of sides
Let's plug in the proper values into this equation and simplify:
[tex]A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}[/tex]
[tex]A=\frac{(59.9076)(7)(0.78183148)}{2}[/tex]
[tex]A=\frac{327.86353299}{2}[/tex]
[tex]A=163.93176649[/tex]
