Question

construction. in china, you find circular clan homes called tulou. some tulou are three or four stories high and exceed 70 meters in diameter. if a wedge or section on the third floor of such a building has a central angle measuring 20°, how many radians is this? note: enter the exact, fully simplified answer. central angle in radians:

Explanation:

Step1: Convert degrees to radians

To convert degrees to radians, use the formula \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees}\).
Here, the degree measure is \(20^{\circ}\). So, \( \text{Radians}=\frac{\pi}{180}\times20\).

Step2: Simplify the expression

\(\frac{\pi}{180}\times20=\frac{\pi\times20}{180}=\frac{\pi}{9}\) (divide numerator and denominator by 20).

Answer:

\(\frac{\pi}{9}\)