The circular bases of the traditional tepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area of the base? Round to the nearest square unit.

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To find the area of the circular base of the tepees, we need to use the formula for the area of a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.

Since we are given the diameter of the base, which is 15 ft, we need to divide it by 2 to find the radius.

Radius (r) = Diameter / 2 = 15 ft / 2 = 7.5 ft

Now we can substitute the value of the radius into the formula to find the area:

A = π × (7.5 ft)^2
A = π × 56.25 ft^2
A ≈ 176.71 ft^2

Rounding to the nearest square unit, the area of the base of the tepee is approximately 177 square units.

226 square feet