Multiple choice

What is the length of the arc of a circle of radius 30 cm which subtend an angle $\displaystyle \frac{\pi}{6}$ at the centre?

  1. 11.7 cm

  2. 14.7 cm

  3. 16.7 cm

  4. 15.7 cm
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D Correct answer
Explanation

Arc length = radius * angle (in radians). Arc length = 30 * (pi / 6) = 5 * pi = 5 * 3.14159 = 15.7079.

AI explanation

Using the arc length formula L = r * theta, we substitute the given radius of 30 cm and the central angle of pi/6. This gives the arc length as L = 30 * (pi / 6), which simplifies to 5*pi cm. Taking the approximate value of pi as 3.14, the length of the arc is 5 * 3.14 = 15.7 cm.

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