Question

What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00?

Answer 1

The answer to this is 120. 

Answer 2

`120^o`

Explanation:

We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.

Since we know that clock is a circle made of 360 degrees.

Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).

At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.

`\text{Measure of angle}=4* 30^o`

`\text{Measure of angle}=120^o`

Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.