Question

fill in the blank. in any circle, it takes______ diameters to equal the circumference.
a. about ( 3 \frac { 1 } { 7 } )
b. exactly ( 3 \frac { 1 } { 7 } )
c. about ( 3 \frac { 2 } { 7 } )
d. about ( 3 \frac { 1 } { 14 } )

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \(C\) of a circle is \(C=\pi d\), where \(d\) is the diameter.

Step2: Approximate the value of \(\pi\)

We know that \(\pi\approx3.142857\). And \(3\frac{1}{7}=\frac{3\times7 + 1}{7}=\frac{22}{7}\approx3.142857\)

Answer:

A. about \(3\frac{1}{7}\)