A community group is building a playground on a rectangular lot of land. The lot measures 6x by 9x and they want to cut out an area for a circular jungle gym with a radius of 4x. How much of the land will be left over after the jungle gym is built?
a. 38pix^2
b. 22x2 (27-2pi)
c. 2x2 (27-8pi)
d. 38x2

Question

A community group is building a playground on a rectangular lot of land. The lot measures 6x by 9x and they want to cut out an area for a circular jungle gym with a radius of 4x. How much of the land will be left over after the jungle gym is built?
a. 38pix^2
b. 22x2 (27-2pi)
c. 2x2 (27-8pi)
d. 38x2

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

Let's start by drawing the picture

jim_thompson5910 · Answer

we have this 9x by 6x rectangular lot

|dw:1392339675592:dw|

jim_thompson5910 · Answer

Then in the middle (anywhere in the rectangle), we cut out a circle with radius 4x

|dw:1392339741623:dw|

jim_thompson5910 · Answer

First off, what is the area of this rectangle (ignore the circle)?

ilovepurple42043 · Answer

54 help me @jim_thompson5910