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To find the number of right angles turned through by the hour hand of a clock when it goes from 3 to 6, we need to calculate the angle turned by the hour hand during this period and then divide it by the measure of a right angle, which is 90 degrees.
At 3 o'clock, the hour hand points directly at 3, which is 90 degrees clockwise from 12.
At 6 o'clock, the hour hand points directly at 6, which is 180 degrees clockwise from 12.
So, the angle turned by the hour hand from 3 to 6 is 180∘−90∘=90∘180∘−90∘=90∘.
Now, to find the number of right angles turned through, we divide this angle by the measure of a right angle:
Number of right angles=90∘90∘=1
Therefore, the hour hand of the clock turns through 1 right angle when it goes from 3 to 6.
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