Kirk bought a nellugrone that can fly in / 10 point a circular pattern at maximum of 31 feet away. What is the length of the drones flight pattern? How much area is within the maximum flight pattern? Round to the nearestinundredths place.

To find the length of the drone's flight pattern, we need to calculate the circumference of the circular pattern it can fly in. The circumference of a circle is given by the formula \( C = 2\pi r \), where \( r \) is the radius of the circle. Given that the drone can fly in a circular pattern at a maximum distance of 31 feet, the radius of the circle is 31 feet. 1. Calculate the length of the drone's flight pattern: \[ C = 2\pi \times 31 \] 2. Calculate the area within the maximum flight pattern: The area of a circle is given by the formula \( A = \pi r^2 \), where \( r \) is the radius of the circle. \[ A = \pi \times 31^2 \] Let's calculate these values. Calculate the value by following steps: - step0: Calculate: \(2\pi \times 31\) - step1: Multiply the terms: \(62\pi \) The length of the drone's flight pattern is approximately 194.78 feet. Now, let's calculate the area within the maximum flight pattern. Calculate the value by following steps: - step0: Calculate: \(\pi \times 31^{2}\) - step1: Evaluate the power: \(\pi \times 961\) - step2: Multiply: \(961\pi \) The area within the maximum flight pattern is approximately 3019.07 square feet. Therefore, the length of the drone's flight pattern is approximately 194.78 feet, and the area within the maximum flight pattern is approximately 3019.07 square feet.