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What is the measure of the smaller angle between the hour hand and the minute hand at 9.30 o'clock?
Wiki User
∙ 12y ago
105 degrees.
A clock has 60 divisions around the outer edge representing the 60 minutes per hour. At 9.30 the minute hand will be at exactly 30 minutes. The hour hand will be exactly halfway between 9 hours and 10 hours (which is equal to 47.5 minutes according to the 60 minute divisions).
As there are 60 divisions, and a circle is equal to 360 degrees, then each division is equal to 6 degrees.
Therefore, the difference in minute divisions between the two hands = 47.5 - 30 = 17.5. The angle is therefore equal to 17.5 * 6 = 105 degrees.
Wiki User
∙ 12y ago
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