Question

question 7 of 9
find the circumference of a circle with radius 5.4 ft, both in terms of \\(\pi\\) and to the nearest tenth. use 3.14 for \\(\pi\\).
\\(\bigcirc\\) \\(c = 5.4\pi\\) ft \\(\approx 17\\) ft
\\(\bigcirc\\) \\(c = 29.16\pi\\) ft \\(\approx 91.6\\) ft
\\(\bigcirc\\) \\(c = 10.8\pi\\) ft \\(\approx 33.9\\) ft
\\(\bigcirc\\) \\(c = 2.7\pi\\) ft \\(\approx 8.5\\) ft

Explanation:

Step1: Recall circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius.

Step2: Substitute radius \( r = 5.4 \) ft

Substitute \( r = 5.4 \) into the formula: \( C = 2\pi\times5.4 = 10.8\pi \) ft.

Step3: Calculate numerical value

Using \( \pi = 3.14 \), we have \( C = 10.8\times3.14 = 33.912 \) ft.

Step4: Round to nearest tenth

Rounding \( 33.912 \) to the nearest tenth gives \( 33.9 \) ft.

Answer:

C = 10.8π ft ≈ 33.9 ft (the corresponding option among the choices)