Worksheet: Angles in Degrees, Minutes, and Seconds

In this worksheet, we will practice writing the angles in degrees, minutes, and seconds in only degrees and vice versa.

Q1:

Convert the angle 461520 to decimal degrees giving the answer to three decimal places.

Q2:

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

  • A52649
  • B524949
  • C5266
  • D52496

Q3:

Convert the angle 584831 to decimal degrees giving the answer to three decimal places.

Q4:

Convert the angle 792446 to decimal degrees giving the answer to three decimal places.

Q5:

Express the angle 49.129722 in degrees, minutes, and seconds.

  • A49747
  • B494747
  • C4977
  • D49477

Q6:

Express the angle 37.637222 in degrees, minutes, and seconds.

  • A373814
  • B371414
  • C373838
  • D371438

Q7:

Benjamin and Mason are using their calculators to convert 77.1259 to degrees, minutes, and seconds. Benjamin says the answer is 77733.24. However, Mason says the answer is 761233. Using your calculator, determine which answer is correct.

  • AMason
  • BBenjamin

Q8:

Using a calculator, write 253045 in degrees.

Q9:

How can you write 20 degrees, 25 minutes, and 59 seconds?

  • A252520
  • B255920
  • C202559
  • D592520

Q10:

Without using a calculator, write 20.7 in degrees, minutes, and seconds.

  • A21435
  • B20420
  • C23452
  • D22441
  • E24463

Q11:

Using a calculator, write 18.15 in degrees, minutes, and seconds.

  • A191112
  • B161523
  • C171210
  • D1890
  • E201035

Q12:

Anthony’s teacher asked him to express 585940 in degrees only without using the calculator. Anthony forgot the procedure, so he could not answer his teacher’s question. His teacher requested that his colleagues, Benjamin, Noah, and Jacob, help him. Benjamin said the answer was 157, Noah said the answer was 58.9944, and Jacob said the answer was 59.65. Whose answer is correct?

  • ABenjamin
  • BNoah
  • CJacob

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