9. Our moon has a mean radius of about 1,079 miles. Earth has a mean radius of about 3,960 miles. Calculate each value to the nearest percent. a. the ratio of the radius of the moon to the radius of Earth b. the ratio of the surface area of the moon to the surface area of Earth

To calculate the ratio of the radius of the moon to the radius of Earth and the ratio of the surface area of the moon to the surface area of Earth, we can use the following formulas: 1. Ratio of radii: \[ \text{Ratio of radii} = \frac{\text{Radius of moon}}{\text{Radius of Earth}} \] 2. Ratio of surface areas: \[ \text{Ratio of surface areas} = \left(\frac{\text{Radius of moon}}{\text{Radius of Earth}}\right)^2 \] Given: - Mean radius of the moon = 1,079 miles - Mean radius of Earth = 3,960 miles Let's calculate the ratios: Calculate the value by following steps: - step0: Calculate: \(\frac{1079}{3960}\) The ratio of the radius of the moon to the radius of Earth is approximately 0.2727. Now, let's calculate the ratio of the surface areas: Calculate the value by following steps: - step0: Calculate: \(\left(\frac{1079}{3960}\right)^{2}\) - step1: Use the properties of exponents: \(\frac{1079^{2}}{3960^{2}}\) The ratio of the surface area of the moon to the surface area of Earth is approximately 0.0742. Therefore, the ratio of the radius of the moon to the radius of Earth is approximately 0.2727, and the ratio of the surface area of the moon to the surface area of Earth is approximately 0.0742.