Converting Angle Measures 3
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Question 1 of 4
1. Question
Convert to radians`214°35’`Use `pi=3.14159`
Round your answer to three decimal places- `214°35'=` (3.745) `\text(radians)`
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Converting Degrees to Radian
`\text(radian)=\text(degrees)xxpi/(180°)`First, convert the minute values into decimal values`1°` `=` `60’` `214+(35xx1/60)` `=` `214+(35/60)` `=` `214+0.583` `=` `214.583°` Finally, use the formula to convert the degree to radians`\text(radian)` `=` `\text(degrees)xxpi/(180°)` `=` `214.583°xxpi/(180°)` `=` `(214.583°pi)/(180°)` `=` `(214.583xx3.14159)/180` Use `pi=3.14159` `=` `3.745` Rounded to three decimal places `3.745 \text(radians)` -
Question 2 of 4
2. Question
Convert to degrees`pi/4`- `pi/4=` (45)`°`
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Converting Radian to Degrees
`\text(degrees)=\text(radian)xx(180°)/pi`Use the formula to convert the radian to degrees`\text(degrees)` `=` `\text(radians)xx(180°)/pi` `=` `pi/4xx(180°)/pi` `=` `(180°)/4` `pi/pi=1` `=` `45°` `45°` -
Question 3 of 4
3. Question
Convert to degrees`(8pi)/9`- `(8pi)/9=` (160)`°`
Hint
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Converting Radian to Degrees
`\text(degrees)=\text(radian)xx(180°)/pi`Use the formula to convert the radian to degrees`\text(degrees)` `=` `\text(radians)xx(180°)/pi` `=` `(8pi)/9xx(180°)/pi` `=` `(1440°)/9` `pi/pi=1` `=` `160°` `160°` -
Question 4 of 4
4. Question
Convert to degrees`3`- `3=` (171)`°` (53)`'`
Hint
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Great Work!
Incorrect
Converting Radian to Degrees
`\text(degrees)=\text(radian)xx(180°)/pi`Use the formula to convert the radian to degrees`\text(degrees)` `=` `\text(radians)xx(180°)/pi` `=` `3xx(180°)/pi` `=` `(540°)/(3.14159)` Use `pi=3.14159` `=` `171.89°` Rounded to two decimal places Finally, convert the decimal values into minute values`1°` `=` `60’` `171+(0.89xx60/1)` `=` `171°+(53′)` `=` `171°53’` `171°53’`
Quizzes
- Converting Angle Measures 1
- Converting Angle Measures 2
- Converting Angle Measures 3
- Finding the Central Angle in a Circle
- Finding Areas in a Circle
- Values on the Unit Circle
- Finding Missing Angles Using the Unit Circle
- Trigonometric Ratios in the Unit Circle
- Trig Exact Values 1
- Trig Exact Values 2
- Trig Equations
- Derivative of a Trigonometric Function 1
- Derivative of a Trigonometric Function 2
- Derivative of a Trigonometric Function 3
- Applications of Differentiation
- Integral of a Trigonometric Function 1
- Integral of a Trigonometric Function 2
- Applications of Integration
- Graphing Trigonometric Functions 1
- Graphing Trigonometric Functions 2
- Graphing Trigonometric Functions 3
- Graphing Trigonometric Functions 4