The width of the door is 4 feet. The door and wall form a right angle. C=(pi)(d), pi= 22/7
What distance does the edge of the door move when the door is opened all the way?
A. 4 feet
B. 5 3/7 feet
C. 6 2/7 feet
D. 7 feet
E. None of the above

Question

The width of the door is 4 feet. The door and wall form a right angle. C=(pi)(d), pi= 22/7 
What distance does the edge of the door move when the door is opened all the way? 
A. 4 feet
B. 5 3/7 feet
C. 6 2/7 feet
D. 7 feet 
E. None of the above

jim_thompson5910 · Answer

imagine a circle that represents the door's path

|dw:1432424907860:dw|

with a radius of 4 feet

jim_thompson5910 · Answer

what is the circumference of the full circle?

anonymous · Answer

C= 25.13?

jim_thompson5910 · Answer

leave it in fraction form

jim_thompson5910 · Answer

I'm assuming you used the formula

C = 2*pi*r

right?

anonymous · Answer

Yes.

jim_thompson5910 · Answer

so you should have

C = 2*(22/7)*4 = ???

what is the result as a fraction?

anonymous · Answer

25.13 but as a fraction it would be 25 13/100?

jim_thompson5910 · Answer

you should get 176/7 when you compute 2*(22/7)*4

jim_thompson5910 · Answer

176/7 is the full circumference

we just want 1/4 of it

so multiply (176/7) by (1/4), then convert to a mixed number