QUESTION IMAGE
Question
- what is the arc length (to the nearest tenth) of major arc pq? 36.7 m 26.2 73.3 18.3 m
Step1: Find major arc angle
Major arc PQ angle = $360^\circ - 210^\circ = 150^\circ$
Step2: Calculate arc length
Arc length formula: $\frac{\theta}{360^\circ} \times 2\pi r$
Substitute $\theta=150^\circ$, $r=10$:
$\frac{150}{360} \times 2\pi \times 10 = \frac{5}{12} \times 20\pi = \frac{100\pi}{12} \approx 26.18$
Step3: Round to nearest tenth
$26.18 \approx 26.2$
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26.2