Question

Angle between hour hand and minute hand at quarter to six

Answer 1

Answer:

The minute hand is on “3”, while the hour hand is ¼ of the way from “6” to “7”. Since the 12 hours of a standard clock face cover 360°, the angular distance between adjacent numbers is 30°. 30° × 3¼ = 97.5°.

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Answer 2

The angle between quarter past, digit 3, and digit 6 is 90 degrees. However the hour hand will have traveled an additional quarter of the way between the 6 and 7.

There are 360 degrees in a circle and 12 digits on a clock face, which is 30 degrees between each digit.

Quarter of 30 is 7.5,

7.5 + 90 = 97.5 degrees.