Answer the following. Round your answers to the nearest hundredth.

(a) Convert $-\frac{12 \pi}{19}$ radians to degree measure.
(b) Convert -1.33 radians to degree measure.

Convert radians to degrees using the conversion factor π 18 0 ∘ ​ .
For (a), calculate − 19 12 π ​ × π 180 ​ ≈ − 113.6 8 ∘ .
For (b), calculate − 1.33 × π 180 ​ ≈ − 76.2 0 ∘ .
The answers are − 113.68 ​ and − 76.20 ​ .

Explanation

Conversion factor We need to convert radians to degrees. The conversion factor is π radians 18 0 ∘ ​ .

Part (a) Calculation For part (a), we convert − 19 12 π ​ radians to degrees by multiplying by the conversion factor: − 19 12 π ​ ⋅ π 18 0 ∘ ​ = − 19 12 × 180 ​ ≈ − 113.6 8 ∘ Rounding to the nearest hundredth, we get − 113.6 8 ∘ .

Part (b) Calculation For part (b), we convert -1.33 radians to degrees by multiplying by the conversion factor: − 1.33 ⋅ π 18 0 ∘ ​ ≈ − 76.2 0 ∘ Rounding to the nearest hundredth, we get − 76.2 0 ∘ .

Final Answer Therefore, the answers are: (a) − 113.6 8 ∘ (b) − 76.2 0 ∘


Examples
Radian to degree conversion is used in many fields such as astronomy, physics, and engineering. For example, when calculating the trajectory of a satellite, engineers need to convert angles from radians to degrees to ensure accurate positioning and control. Similarly, in computer graphics, angles are often represented in radians, but for display purposes, they need to be converted to degrees.

Answered by GinnyAnswer | 2025-07-05

To convert − 19 12 π ​ radians to degrees, the answer is approximately − 113.6 8 ∘ . For − 1.33 radians, the conversion gives approximately − 76.2 0 ∘ .
;

Answered by Anonymous | 2025-07-09