Question

find the circumference of the object. use 3.14 or \\(\frac{22}{7}\\) for \\(\pi\\). round to the nearest hundredth if necessary. 7 in. circumference: about \\(\square\\) in.

Explanation:

Step1: Identify the formula for circumference

The object is a circle, and the given length (7 in) is the diameter (\(d\)). The formula for the circumference \(C\) of a circle is \(C = \pi d\) (or \(C = 2\pi r\), where \(r\) is the radius; since \(d = 2r\), both formulas are equivalent).

Step2: Choose a value for \(\pi\) and substitute \(d\)

We can use \(\frac{22}{7}\) for \(\pi\) (since the diameter is 7, this will simplify calculations). Substitute \(d = 7\) into the formula \(C=\pi d\):
\(C=\frac{22}{7}\times7\)
The 7 in the numerator and denominator cancels out, leaving \(C = 22\). (If we used \(3.14\) for \(\pi\), \(C=3.14\times7 = 21.98\), which is close to 22 when rounded appropriately.)

Answer:

22 (or 21.98 if using \(3.14\) for \(\pi\); the problem allows either, and with \(\frac{22}{7}\) it's exactly 22)