Find the measure of angle formed by the hand of the clock at 7:25.

Question: Find the measure of angle formed by the hand of the clock at 7:25.

Answer: Each hour, the hour clock indicator “travels” 30 degrees. In 7 hours the indicator makes an angle of 210 degrees. In 25′ it makes, additionally, 25/60 of the next 30 degs. That makes 12.5 degrees, furthermore. So, the hour indicator makes an angle of 222.5 degrees.

The minute indicator travels 150 degrees from the position “12” to the position “5” in 25′ .

The angle between the two indicators is 222.5 – 150 = 72.5 degrees.

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