Video: Expressing Angle Measurements in Degrees, Minutes, and Seconds

Express the angle 52.113611° in degrees, minutes and seconds.

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Video Transcript

Express the angle 52.113611 degrees in degrees, minutes, and seconds.

Before we start this question, we need to remember that one degree is equal to 60 minutes and one minute is equal to 60 seconds. As a result, our first step is to convert 0.113611 degrees into minutes. In order to do this, we multiply 0.113611 by 60. This is equal to 6.81666 minutes.

We now know that we have 52 degrees and six minutes. Our final step is to work out how many seconds we have. In order to do this, we need to convert 0.81666 minutes into seconds. We do this by multiplying 0.81666 by 60, as there are 60 seconds in a minute. This is equal to 48.9996 seconds, which we can round to 49 seconds to the nearest second. We can now say that the angle 52.113611 degrees expressed in degrees, minutes, and seconds is 52 degrees, six minutes, and 49 seconds.

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