The formula for the length of an arc of a circle of radius r and angle theta (in degrees) is
- (theta/180) × pi × r squared
- (theta/360) × 2 × pi × r
- pi × r squared
- 2 × pi × r
Show answer and 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_