Maths · Trigonometrical identities and trigonometrical functions
What is the length of arc AB making angle of at center of radius
What is the length of arc AB making angle of \( 126^{0} \) at center of radius \( 8 ? \)
- A. \( 2.6 \pi \)
- B. \( 5.6 \pi \)
- C. \( 7.6 \pi \)
- D. \( \frac{1}{2} \pi \)
Step-by-step solution
Arc length = radius × angle in radians. Convert 126° to radians: 126° × (π/180) = 126π/180 = 7π/10. Then arc length = 8 × (7π/10) = 56π/10 = 5.6π.
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