Discussion
If radius is 21 cm and angle at center of circle is 140° then length of arc is
Answer: C
\[ \text{arc} = \frac{\theta}{360} \times 2\pi r \]
\[ = \frac{140}{360} \times 2 \times \frac{22}{7} \times 21 \]
\[ = \frac{7}{18} \times 132 = \frac{924}{18} = 51.33 \approx 51.31 \text{ cm} \]
The whole circumference is 132 cm, and \( 140^{\circ} \) is a little under four tenths of a turn - a quick check on the size of the answer.
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