Answer: H) 19.47
Step-by-step explanation: There are a few equations that we can use to determine quantities such as the radius, diameter, area, and circumference of a circle. The first and most important equation is Area=π*(Radius)^2. Another important equation is Diameter=2*Radius. A third equation that we won't be using in this problem but may be helpful in the future is Circumference=2*π*Radius.
In this problem, we are given the Area and asked to find the Diameter. We have an equation that relates the Area to the Radius and an equation that connects the Radius to the Diameter. Therefore, we can connect the Area to the Diameter.
We can substitute the given Area of 298 into Area=π*(Radius)^2. This results in 298=π*(Radius)^2. We now simply solve algebraically for the Radius. We first divide by π(22/7) into both sides of the equation then take the square root on both sides. Since the problem says to use 22/7, it means to replace pi with 22/7. This gives us a Radius=9.735. The last step is to plug our Radius into the equation Diameter=2*Radius which gives us Diameter=2*9.735. This gives us a Diameter equal to 19.47 which is answer choice H.
Hope this helps!