Geometry rectangle/circle

Question

So basically it’s a rectangle with a length of 600ft and a width of 400ft and the question is How much of the field is being watered ? that has 32 circles inside and a diameter of 50ft.I got the circumstance it is 157ft.

.I have to find the total area of circle by the area of the rectangle.I already found the area of the rectangle is 600ft x 400ft =240,000.

I’m stuck on the area of the circle. One circle is 1962.5ft.So how many ft is that ?Then I have to divide the total area of the circle by the area of the rectangle.

Answer 1

The portion of the field that is being watered is the total area of the 32 circles (amount being watered) divided by the area of the rectangle (total area of the field. You do not need the circumference of the circles, just the area. The diameter is 50 ft, so the radius is 25 ft The area of a circle is pi x r² ,so each circle has an area of 625 x pi. Multiply that by 32 and the total area is 20,000 x pi = 62,800 sq.ft. The proportion being watered is 62.800/240,000 = 157/600.

Hope this helps.