alleryThe formula for the length of an arc of a circle of radius r and angle theta (in degrees) is
A(theta/180) × pi × r squared
B(theta/360) × 2 × pi × r
Cpi × r squared
D2 × pi × r
Answer & Solution
Correct answer: B. (theta/360) × 2 × pi × r
1. A full circle (360 degrees) has circumference 2 × pi × r.
2. An arc of angle theta is the fraction theta/360 of that.
3. Hence arc length = (theta/360) × 2 × pi × r.
_Source: syllabus Mathematics, Ch 11 "Areas Related to Circles", §11.2_
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