Question

The circular bases of the traditional teepees 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.

A. 707ft2

B. 47ft2

C. 24ft2

D.177ft2

Answer 1

The area of the base of a traditional teepee with a 15 ft diameter is approximately 177 ft² when rounded to the nearest square unit, which corresponds to option D.

Step-by-step explanation:

To find the area of the base of a teepee with a circular ground plan, we use the formula for the area of a circle, which is A = πr², where π (pi) is approximately 3.1416 and r is the radius of the circle. Given that the diameter of the teepee's base is 15 ft, the radius r is half of the diameter, so it's 7.5 ft. Now we calculate the area as follows:

A = πr²
A = 3.1416 × (7.5 ft)²
A = 3.1416 × 56.25 ft²
A = 176.71 ft²

When rounded to the nearest square unit, the area of the base is approximately 177 ft², which corresponds to option D.

Answer 2

D. 177 ft²

Step-by-step explanation:

the area of a circle is

pi×r²

r is the radius which is half of the diameter, of course.

so, in our case

area = pi×(15/2)² = pi×7.5² = pi×56.25 =

= 176.7145868... ft² ≈ 177 ft²