Respuesta :
the minute hand is pretty much the radius of the circular clock.
[tex] \bf \textit{circumference of a circle}\\\\
C=2\pi r~~
\begin{cases}
r=radius\\[-0.5em]
\hrulefill\\
C=44
\end{cases}\implies 44=2\pi r\implies \cfrac{44}{2\pi }=r\implies \cfrac{22}{\pi }=r
\\\\\\
\stackrel{\textit{using }\pi =\frac{22}{7}}{\cfrac{~~22~~}{\frac{22}{7}}=r}\implies \cfrac{22}{1}\cdot \cfrac{7}{22}=r\implies \cfrac{22}{22}\cdot \cfrac{7}{1}=r\implies 7=r [/tex]
Circumference of a circle is equal to the twice the product of value of pi and its radius The length of the minute hand is 7 units long.
Given information
The circumference of the clock is 44 inches.
The value of the pi is 22/7.
Minute hand
Minute hand is the largest hand of a clock. The minute is almost equal to the radius of the clock.
Let the minute hand is equal to the radius [tex]r[/tex] of the clock.
Circumference of circle
Circumference of a circle is equal to the twice the product of value of pi and its radius.
The circumference of the clock is given as,
[tex]P=2\pi\times r[/tex]
Put the values,
[tex]44=2\times\dfrac{22}{7} \times r[/tex]
Solve for the [tex]r[/tex],
[tex]r=\dfrac{44\times7}{22\times2} \\r=7[/tex]
Thus the length of the minute hand is 7 units long.
Learn more about the circumference of the circle here;
https://brainly.com/question/15211210
