 # Convert Degrees, Minutes and Seconds to Decimals

In this worksheet, students convert angles given in degrees, minutes and seconds to angles in decimal format. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Standard Units of Measure

Difficulty level:   ### QUESTION 1 of 10

An angle of 1º can be divided into 60 equal parts.

Each of these parts is known as 1 minute (1').

So 60' = 1º

An angle of 1' can be divided into 60 equal parts.

Each of these parts is known as 1 second (1").

So 60" = 1'    and   3600" = 1º

Example

Convert 42º 14' 32" into an angle in decimal format to 2 decimal places.

14' = 14/60 degrees.

32" = 32/3600 degrees.

Use a calculator to work out

42 + 14 ÷ 60 + 32 ÷ 3600

So 42º 14' 32" = 42.24222222º... = 42.24º (to 2 dp)

Convert the following angle into decimal format to 2 decimal places.

74º 59' 20"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

42º 21' 56"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

35º 24' 12"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

35º 35' 35"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

114º 39"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

128º 28' 28"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

20' 55"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

20º 55'

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

20º 55"

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

0º 0' 54"

(Just write the number)

• Question 1

Convert the following angle into decimal format to 2 decimal places.

74º 59' 20"

(Just write the number)

74.99
• Question 2

Convert the following angle into decimal format to 2 decimal places.

42º 21' 56"

(Just write the number)

42.37
• Question 3

Convert the following angle into decimal format to 2 decimal places.

35º 24' 12"

(Just write the number)

35.40
• Question 4

Convert the following angle into decimal format to 2 decimal places.

35º 35' 35"

(Just write the number)

35.59
• Question 5

Convert the following angle into decimal format to 2 decimal places.

114º 39"

(Just write the number)

114.01
• Question 6

Convert the following angle into decimal format to 2 decimal places.

128º 28' 28"

(Just write the number)

128.47
• Question 7

Convert the following angle into decimal format to 2 decimal places.

20' 55"

(Just write the number)

0.35
• Question 8

Convert the following angle into decimal format to 2 decimal places.

20º 55'

(Just write the number)

20.92
• Question 9

Convert the following angle into decimal format to 2 decimal places.

20º 55"

(Just write the number)

20.02
• Question 10

Convert the following angle into decimal format to 2 decimal places.

0º 0' 54"

(Just write the number)

0.02
---- OR ----

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