Radians, Arc Length and Area
Convert Radians and Degrees 1
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Question 1 of 5
1. Question
Convert to radians`135°`Use `pi=3.14159`
Round your answer to two decimal places `135°=` (2.36) `\text(radians)`
Hint
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Great Work!
Incorrect
Help VideoConverting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `135°xxpi/(180°)` `=` `(135°pi)/(180°)` `=` `(3xx3.14159)/4` Simplify `=` `2.36` Rounded to two decimal places `2.36 \text(radians)` 
Question 2 of 5
2. Question
Convert to radians`19°`Use `pi=3.14159`
Round your answer to three decimal places `19°=` (0.332) `\text(radians)`
Hint
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Correct!
Incorrect
Help VideoConverting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `19°xxpi/(180°)` `=` `(19°pi)/(180°)` `=` `(19xx3.14159)/180` Use `pi=3.14159` `=` `0.332` Rounded to three decimal places `0.332 \text(radians)` 
Question 3 of 5
3. Question
Convert to radians`22 1/2°`Use `pi=3.14159`
Round your answer to three decimal places `22 1/2°=` (0.393) `\text(radians)`
Hint
Help VideoCorrect
Keep Going!
Incorrect
Help VideoConverting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `22 1/2°xxpi/(180°)` `=` `(22 1/2°pi)/(180°)` `=` `(3.14159)/8` Simplify `=` `0.393` Rounded to three decimal places `0.393 \text(radians)` 
Question 4 of 5
4. Question
Convert to radians`117.6°`Use `pi=3.14159`
Round your answer to three decimal places `117.6°=` (2.053) `\text(radians)`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Help VideoConverting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `117.6°xxpi/(180°)` `=` `(117.6°pi)/(180°)` `=` `(117.6xx3.14159)/180` Use `pi=3.14159` `=` `2.053` Rounded to three decimal places `2.053 \text(radians)` 
Question 5 of 5
5. Question
Convert to radians`36°23’`Use `pi=3.14159`
Round your answer to three decimal places `36°23'=` (0.635) `\text(radians)`
Hint
Help VideoCorrect
Excellent!
Incorrect
Help VideoConverting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`First, convert the minute values into decimal values`1°` `=` `60’` `36+(23xx1/60)` `=` `36+(23/60)` `=` `36+0.382` `=` `36.382°` Finally, use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `36.382°xxpi/(180°)` `=` `(36.382°pi)/(180°)` `=` `(36.382xx3.14159)/180` Use `pi=3.14159` `=` `0.635` Rounded to three decimal places `0.635 \text(radians)`