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Precalculus>
Radians, Arc Length and Area>
Convert Radians and Degrees>
Convert Radians and Degrees 2Convert Radians and Degrees 2
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Question 1 of 5
1. Question
Convert to radians`89°39’`Use `pi=3.14159`
Round your answer to three decimal places- `89°39'=` (1.565) `\text(radians)`
Hint
Help VideoCorrect
Nice Job!
Incorrect
Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`First, convert the minute values into decimal values`1°` `=` `60’` `89+(39xx1/60)` `=` `89+(39/60)` `=` `89+0.65` `=` `89.65°` Finally, use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `89.65°xxpi/(180°)` `=` `(89.65°pi)/(180°)` `=` `(89.65xx3.14159)/180` Use `pi=3.14159` `=` `1.565` Rounded to three decimal places `1.565 \text(radians)` -
Question 2 of 5
2. Question
Convert to radians`60°`Use `pi=3.14159`
Round your answer to three decimal places- `60°=` (1.047) `\text(radians)`
Hint
Help VideoCorrect
Well Done!
Incorrect
Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `60°xxpi/(180°)` `=` `(60°pi)/(180°)` `=` `(3.14159)/3` Simplify `=` `1.047` Rounded to three decimal places `1.047 \text(radians)` -
Question 3 of 5
3. Question
Convert to radians`1°`Use `pi=3.14159`
Round your answer to four decimal places- `1°=` (0.0175) `\text(radians)`
Hint
Help VideoCorrect
Correct!
Incorrect
Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `1°xxpi/(180°)` `=` `(pi)/(180°)` `=` `(3.14159)/180` Use `pi=3.14159` `=` `0.0175` Rounded to four decimal places `0.0175 \text(radians)` -
Question 4 of 5
4. Question
Convert to radians`57.295°`Use `pi=3.14159`
Round your answer to a whole number- `57.295°=` (1) `\text(radians)`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `57.295°xxpi/(180°)` `=` `(57.295°pi)/(180°)` `=` `(57.295xx3.14159)/180` Use `pi=3.14159` `=` `1` Rounded to a whole number `1 \text(radian)` -
Question 5 of 5
5. Question
Convert to radians`127°`Use `pi=3.14159`
Round your answer to three decimal places- `127°=` (2.217) `\text(radians)`
Hint
Help VideoCorrect
Nice Job!
Incorrect
Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`Use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `127°xxpi/(180°)` `=` `(127°pi)/(180°)` `=` `(0.765xx3.14159)/4` Simplify `=` `2.217` Rounded to three decimal places `2.217 \text(radians)`