To the nearest square unit, what is the area of the regular heptagon shown below?
a. 3566 square units
b. 1783 square units
c. 509 square units
d. 1019 square units

Solution 1 (informal):
hmm... this heptagon looks awfully similar to a circle! Let's use the area of a circle with 23 as the radius: pi*23*23 = 1661, the closest option is B. 1783 square units
Solution 2 (formal):
Area of a regular polygon = .5*apothem*perimeter
= .5*23*(7*22.15) = B. 1783 square units

It seems like a lot of movies