Atoy basketball hoop for toddlers has a diameter of 10 cm. a regulation basketball hoop has a diameter of 46 cm. determine the scale factor for the diameter of the toddler size basketball hoop to the diameter of the regulation size basketball hoop. (round answer to two decimal places)

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?