An accurate clock shows 7 o'clock in the morning. through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?
Answers
In a span of 12 hours, the hour hand of a clock rotates 360°. This means it rotates 360/12 = 30° per hour.
From 7 o'clock in the morning to 3 o'clock in the afternoon, 8 hours would have passed. So, the hour hand would've rotated 8×30 = 240°.
We know that the clock is a circle, so it has a 360° angle.
The clock is divided into 12 divisions, each division shows an hour.
The measure of each hour = Total measure of the clock / Number of hours
= 360° / 12
= 30°
When the hour hand travels from 7 am to 3 pm, it moves a total of 8 hours.
Distance traveled by hour hand in 8 hours = Measure of each hour x Number of hours
Distance traveled by hour hand in 8 hours = 30° x 8
= 240°
Therefore, the angle traveled by the hour hand while moving from 7 in the morning to 3 in the afternoon is 240°.