Answer :

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°.

MrRoyal

The measure of angle swept is 630 degrees

The times are given as:

  • Initial = 12 Noon
  • Final = 1 : 45 pm

Start by calculating the time differences (d)

[tex]d =Final - Initial[/tex]

So, we have:

[tex]d =1:45- 12[/tex]

This gives

[tex]d =1hr\ 45mins[/tex]

Convert the time to minutes

[tex]d =60+ 45\ mins[/tex]

[tex]d =105\ mins[/tex]

Convert the minute to degrees

[tex]d =105 \times 6^o[/tex]

[tex]d =630^o[/tex]

Hence, the measure of angle swept is 630 degrees

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