Find the measure of the angle swept by the hour hand between noon and 1: 45

The measure of angle swept is 630 degrees

The times are given as:

Start by calculating the time differences (d)

So, we have:

This gives

Convert the time to minutes

Convert the minute to degrees

Hence, the measure of angle swept is 630 degrees

Read more about angles at:

link

let's recall that a circle has a total of 360°, and the circular clock has 60 minutes ticks.

if there are 360° in the clock then each minute tick has an angle of 360/60 = 6°.

from 12pm to 1pm is 1 whole hour, or 60 minutes, namely 360°.

from 1pm to 1:45pm is 45 minutes, and therefore 6°*45 = 270°.

so the minute hand went through 360° + 270° = 630°.

step-by-step explanation:

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.