Question

a crop duster reading a map learns that on the map she must treat a circular area of the 9pi^2 in. If 30 miles on the ground is represented by 1 inch on the map, the area in square miles that the crop duster must treat is...?

Answer 1

8100pi miles^2

Answer 2

how?

Answer 3

oh
1 in = 30 mi
1 in * 1 in = 30 mi * 30 mi
9pi (900mi^2) = answer

Answer 4

why would you do 1 by 1 though?

Answer 5

If the questions is asking how to translate a map from inches to miles. You would find the ratio, in this case, 1 inch = 30 miles, and use cross products to show your work. (unless I'm reading the problem completely wrong which is entirely possible, but assuming I'm right...)

It would be (1 inch/ 30 miles) = (9pi^2 inches / x)

you would multiply 9pi^2 inches with 30 and divide by one, giving you 270pi^2 miles

On a different note, is the (^2) squaring the pi or squaring the whole number or acting as a unit?

Answer 6

Tisom has a point
I worked the problem fast and placed the squared sign on the "in" because area is measeured as a unit squared such as 1 square mile is an area but can be written as 1 mi^2
so I read the problem as 9pi in^2
1 x 1 is how you get something squared as in 1 in by 1 in along the sides of a square give you 1 in^2 for the area
so then replace the 1 in with 30 mi so you can get miles squared

Answer 7

why as 9 pi in^2 because the formula of area of a circle is given as pi(r)^2

Answer 8

just like saying I have $20 in my pocket; how many pennies would that be.
So they made up a number 9 pi in^2 and ask you how many square miles and give you a conversion 1 in = 1 mi