Question

a minute hand of a circular clock is 15 cm long how far does the tip of the minute hand move in a one hour Pi equals to 3.14

Answer 1

$\bf{\underline{\underline{Answer:}}}$

The distance that the minute hand travels in one hour is 94.29 cm (approx)

$\bold{\underline {Given:}}$

• A minute hand of a circular clock is 15 cm long

$\bold{\underline {To\:Find:}}$

• how far does the tip of the minute hand move in a one hour.

$\bf{\underline{\underline{Step\: by\: step \:explanation:}}}$

According to Question,

The radius of the circular clock = Length of the minute hand (r) = 15 cm

Time taken = 1 hour.

The tip of the clock will undergo 1 complete rotation in 1 hour.

$\boxed {\sf {Circumference\: of\: circle =2\pi \times r}}$

So, The distance the minute hand moves in an hour $=2 \pi \times r$

$\begin{lgathered}\begin{array} { c }{= 2 \times \dfrac { 22 }{ 7 } \times 15 } \\\\ { = \dfrac {\cancel{660}}{ \cancel7 } = 94.2857 \mathrm { cm } } \\\\ { \approx 94.29 \mathrm { cm } } \end{array}\end{lgathered}$

Thus, the distance that the minute hand travels in one hour is 94.29 cm