Math  /  Trigonometry

Question3. Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians. [4 marks] a. 180180^{\circ} b. 5 c. 1313^{\circ} d. π/7\pi / 7

Studdy Solution
Convert π7 \frac{\pi}{7} radians to degrees.
Using the conversion formula:
degrees=π7×180π \text{degrees} = \frac{\pi}{7} \times \frac{180}{\pi}
Calculate the value:
degrees=180725.714 \text{degrees} = \frac{180}{7} \approx 25.714
Rounded to three decimal places:
degrees=25.714 \text{degrees} = 25.714
The converted values are: a. 180=π 180^\circ = \pi radians b. 5 radians 286 \approx 286 degrees c. 13=13π180 13^\circ = \frac{13\pi}{180} radians d. π7 \frac{\pi}{7} radians 25.714 \approx 25.714 degrees

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