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Question 1 of 4
Convert to radians
214°35’214°35’
Use π=3.14159π=3.14159
Round your answer to three decimal places
Incorrect
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First, convert the minute values into decimal values
| 214+(35×160) |
= |
214+(3560) |
|
|
= |
214+0.583 |
|
= |
214.583° |
Finally, use the formula to convert the degree to radians
| radian |
= |
degrees×π180° |
|
|
= |
214.583°×π180° |
|
|
= |
214.583°π180° |
|
|
= |
214.583×3.14159180 |
Use π=3.14159 |
|
|
= |
3.745 |
Rounded to three decimal places |
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Question 2 of 4
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Use the formula to convert the radian to degrees
| degrees |
= |
radians×180°π |
|
|
= |
π4×180°π |
|
|
= |
180°4 |
ππ=1 |
|
|
= |
45° |
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Question 3 of 4
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Use the formula to convert the radian to degrees
| degrees |
= |
radians×180°π |
|
|
= |
8π9×180°π |
|
|
= |
1440°9 |
ππ=1 |
|
|
= |
160° |
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Question 4 of 4
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Use the formula to convert the radian to degrees
| degrees |
= |
radians×180°π |
|
|
= |
3×180°π |
|
|
= |
540°3.14159 |
Use π=3.14159 |
|
|
= |
171.89° |
Rounded to two decimal places |
Finally, convert the decimal values into minute values
| 171+(0.89×601) |
= |
171°+(53′) |
|
|
= |
171°53’ |
