Express \(\frac{7\pi}{6}\) radians in degrees.

Assessment: WAEC SSCE - Further Mathematics - 2008 (Objective) Subject: Further Mathematics

Question 1 Report

Express \(\frac{7\pi}{6}\) radians in degrees.

Answer Details
To convert radians to degrees, we can use the conversion formula: $$\text{degrees} = \frac{\text{radians}}{\pi} \times 180^\circ$$ Substituting the value of \(\frac{7\pi}{6}\) radians, we get: $$\text{degrees} = \frac{7\pi}{6} \div \pi \times 180^\circ$$ Simplifying the expression, we get: $$\text{degrees} = \frac{7}{6} \times 180^\circ$$ $$\text{degrees} = 210^\circ$$ Therefore, \(\frac{7\pi}{6}\) radians is equal to 210 degrees.
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