Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.
To find the area of the regular pentagon, we can use the formula:
Area = (5/2) * s * r
Where s is the length of one side of the pentagon and r is the distance from the midpoint of the pentagon to one of its vertices.
We are given that s = 8.37 cm and r = 8.37 cm.
Plugging these values into the formula, we get:
Area = (5/2) * 8.37 * 8.37
Area = (5/2) * 70.0569
Area = 175.14225
Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.