The diameter of a clock's face is 6 inches. Find the length of the mirror arc formed by the hands of the clock at 4:00. Round to

Question

jasenka [17]

3 years ago

13

The diameter of a clock's face is 6 inches. Find the length of the mirror arc formed by the hands of the clock at 4:00. Round to

the nearest hundredth.

Mathematics

1 answer:

Genrish500 [490] · Answer 1 · 2022-06-30T17:41:14+03:00

We know that

360°/12 hour-----------> 30°/hour

<span>Central angle at 4 .00 is 120 degrees

the radius of a clock is 6/2-----> r=3 in
length of a circumference=2*pi*r-----> 2*pi*3----> 18.84 in

the minor arc at 4 .00 is for a central angle of 120</span>°
so
if 360° (full circle)---------> has a length of 18.84 in
120°----------------------> X
X=120*18.84/360-------> X=6.28 in

the answer is
6.28 in