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. 177 ft2

B. 47 ft2

C. 707 ft2

D. 24 ft2

Answer 1

if the diameter is 15, its radius is half that, or 7.5

`\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}`

Answer 2

A. 177 ft²

Explanation:

To solve solve the area of the base, we learnt that the base is circular, so we will simply use the formula for finding area of circle to solve;

A = π r²

where r = radius

π is a constant

A= area of a circle

From the question given;

diameter is 15 ft, but radius is half of diameter, this implies that r = d/2 =15/2= 7.5 ft

π≈3.14

We can now proceed to insert our values into the formula;

A ≈ 3.14 × 7.5²

≈3.14×56.25

≈176.625

≈177 ft²

Therefore, the area of the base is 177 ft² approximately.