Discussion
The area of a rectangle whose sides are 176 cm and 56 cm is equal to the area of a circle. What is the circumference (in cm) of the circle ? (Take \(\pi = \dfrac{22}{7}\))
Answer: B
The circumference is 352 cm.
\[ \begin{aligned} \pi r^{2} &= 176 \times 56 = 9856 \\ r^{2} &= 9856 \times \frac{7}{22} = 3136 \\ r &= 56\ \text{cm} \\ C &= 2 \times \frac{22}{7} \times 56 = 352\ \text{cm} \end{aligned} \]
396 cm would need a radius of 63 cm, 440 cm a radius of 70 cm and 308 cm a radius of 49 cm; none of these gives an area equal to the rectangle's 9856 square cm.
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