Questions: Problem 12: (first taught in lesson 44) Convert this angle degree measure into radians. Give an exact answer. 90°

Problem 12: (first taught in lesson 44) Convert this angle degree measure into radians. Give an exact answer. 90°
Transcript text: Problem 12: (first taught in lesson 44) Convert this angle degree measure into radians. Give an exact answer. \[ 90^{\circ} \]
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Solution

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Solution Steps

Step 1: Understand the relationship between degrees and radians

To convert degrees to radians, we use the conversion factor: \[ 1^{\circ} = \frac{\pi}{180} \text{ radians} \]

Step 2: Apply the conversion factor

Multiply the given angle in degrees by the conversion factor: \[ 90^{\circ} \times \frac{\pi}{180} = \frac{90\pi}{180} \]

Step 3: Simplify the expression

Simplify the fraction: \[ \frac{90\pi}{180} = \frac{\pi}{2} \]

Final Answer

The angle \(90^{\circ}\) in radians is: \[ \boxed{\frac{\pi}{2}} \]

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