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# What is the measure of the smaller angle formed by the hour and minute

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Math Expert
Joined: 02 Sep 2009
Posts: 47001
What is the measure of the smaller angle formed by the hour and minute [#permalink]

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28 Nov 2017, 09:35
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93% (00:44) correct 7% (00:00) wrong based on 28 sessions

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What is the measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 7 o'clock?

(A) 150°
(B) 140°
(C) 135°
(D) 120°
(E) 110°

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What is the measure of the smaller angle formed by the hour and minute [#permalink]

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28 Nov 2017, 10:33
A circle is 360 degree . A clock has 12 numbers. So. 360/12= 30 degree. The question is asking for smaller angle formed? So per hour will be 30 degree. If it was 6 o clock it would be 180 degree. If it is 7 oclock 180-30=150 degree! option A.
If it asks for bigger angle formed the answer would be 210 degree
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What is the measure of the smaller angle formed by the hour and minute [#permalink]

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28 Nov 2017, 11:59
Bunuel wrote:
What is the measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 7 o'clock?

(A) 150°
(B) 140°
(C) 135°
(D) 120°
(E) 110°

Twelve numbers divide the clock into 360°/12 = 30-degree sections (twelve of them).

To calculate angles of times on the hour to the left of 6 o'clock, subtract the little hand's number from 12 and multiply by 30.

At 7 o'clock, little hand points to 7 (big hand is at 12)

(12 - 7) = 5 (sections)

5 * 30° = 150°

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What is the measure of the smaller angle formed by the hour and minute   [#permalink] 28 Nov 2017, 11:59
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