What is the marked angle made by the hour and minute hands of the clock given below?

90^{\circ}

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200^{\circ}

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240^{\circ}

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270^{\circ}

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Solution

The correct option is D $270^{\circ}$
The angle between any two consecutive numbers on the clock is $\frac{360}{12} = 30^{\circ} .$

There are nine $30^{\circ}$ angles in the given angle as shown below:

$∴$ The angle made by the hands of the clock is $9 \times 30^{\circ} = 270^{\circ} .$

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Question 4
Measures of the two angles between hour and minute hands of a clock at 9 0' clock are
a) $60^{\circ}, 300^{\circ}$
b) $270^{\circ}, 90^{\circ}$
c) $75^{\circ}, 285^{\circ}$
d) $30^{\circ}, 330^{\circ}$

Q. Roy observed the minute hand and the hour hand of a clock. What is the angle made by them?

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What is the marked angle made by the hour and minute hands of the clock given below?

The correct option is D 270∘The angle between any two consecutive numbers on the clock is 36012=30∘. There are nine 30∘ angles in the given angle as shown below: ∴ The angle made by the hands of the clock is 9×30∘=270∘.

The correct option is D $270^{\circ}$
The angle between any two consecutive numbers on the clock is $\frac{360}{12} = 30^{\circ} .$

There are nine $30^{\circ}$ angles in the given angle as shown below:

$∴$ The angle made by the hands of the clock is $9 \times 30^{\circ} = 270^{\circ} .$