What is the speed of a boy moving around a circular park of radius 6 m if he goes once around the park in 20 s? a 1.88m/s b 3.76m/s C. 5.65m/s d None of the above

To find the speed of the boy moving around the circular park, we can use the formula for speed:<br /><br />\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]<br /><br />The distance the boy travels is the circumference of the circular park, which can be calculated using the formula:<br /><br />\[ \text{Circumference} = 2 \pi r \]<br /><br />where \( r \) is the radius of the circle. Given that the radius of the park is 6 m, we can calculate the circumference as:<br /><br />\[ \text{Circumference} = 2 \pi \times 6 \]<br /><br />\[ \text{Circumference} = 12 \pi \]<br /><br />Now, we can calculate the speed using the formula for speed:<br /><br />\[ \text{Speed} = \frac{12 \pi}{20} \]<br /><br />\[ \text{Speed} = \frac{12 \pi}{20} \]<br /><br />\[ \text{Speed} = \frac{6 \pi}{10} \]<br /><br />\[ \text{Speed} = \frac{3 \pi}{5} \]<br /><br />\[ \text{Speed} \approx 1.88 \, \text{m/s} \]<br /><br />Therefore, the correct answer is option a) $1.88 \, \text{m/s}$.