6. A helicopter pad has a circumference of \( 47 \frac{1}{2} \) yards. Find the approximate diameter of the helicopter pad. Use 3.14 for \( \pi \). Write your answer as a decimal rounded to the nearest hundredth if necessary. (Example 3)

To find the approximate diameter of the helicopter pad, we can use the formula for the circumference of a circle: \[ C = \pi \times d \] Given that the circumference of the helicopter pad is \( 47 \frac{1}{2} \) yards, we can substitute this value into the formula: \[ 47 \frac{1}{2} = \pi \times d \] Since we are using 3.14 for \( \pi \), we can substitute this value into the equation: \[ 47 \frac{1}{2} = 3.14 \times d \] Now, we can solve for \( d \) by dividing both sides of the equation by 3.14: \[ d = \frac{47 \frac{1}{2}}{3.14} \] Let's calculate the value of \( d \) using the given information. Calculate the value by following steps: - step0: Calculate: \(47\frac{1}{2}\) - step1: Alternative Form: \(47.5\) Calculate or simplify the expression \( 47.5/3.14 \). Calculate the value by following steps: - step0: Calculate: \(\frac{47.5}{3.14}\) - step1: Convert the expressions: \(\frac{\frac{95}{2}}{\frac{157}{50}}\) - step2: Multiply by the reciprocal: \(\frac{95}{2}\times \frac{50}{157}\) - step3: Reduce the numbers: \(95\times \frac{25}{157}\) - step4: Multiply: \(\frac{95\times 25}{157}\) - step5: Multiply: \(\frac{2375}{157}\) The approximate diameter of the helicopter pad is \( 15.13 \) yards when rounded to the nearest hundredth.