http://prntscr.com/b3fudo I'm having issues with these four questions. I know to use them I have to use these v http://prntscr.com/b3fvb8 http://prntscr.com/b3fvgl And circumference =diameterxpi or 2pidiameter I'm just having a hard time applying them.
Circumference (C) = pi*diameter = 2*pi*radius 7 is very straightforward, can you tell me what numbers to put in the equation for this problem before we tackle the tougher ones?
@mjdennis Arc=0.4 ciir=25.12?
Good, you are on the right track. The arc is not just 0.4 though; it is 04 _of_the_circumference. (I cannot tell if gray is the 144° part.) Read the problem statement again, and leave pi as a symbol instead of substituting 3.14.
I got 10 for arc length because diameter=8
8: find the circumference of the wheel. Since one rotation makes the wheel travel 1 circumference of road, x rotations will cover x circumferences of roads. How many times does the circumference go into 1 km? 9. Make sure you know the radius and your formula will work. 10. The 'slice' is the sector with a triangle subtracted. I'm pretty sure you can make the triangle out of two identical right triangles you know how to solve.
Back to 7a: r=4 and d=8, yes. So C = pi*d = 8*pi, not 10 7b. Arc is 144/360 * C, right, which is 0.4*C rest is up to you.
I'm confused. I'm using this formula http://prntscr.com/b3g68i And I got 10 again. Also, I would need your help working with the other three questions.
@mjdennis
which problem are you on again? problem 7 part a? or have you moved on?
Problem 7 @jim_thompson5910
part a? or b?
Part b
ok I'm assuming they want the dark gray arc. They used two different types of gray here.
what was your answer to part (a) ? that will be used to answer part (b)
25.12 for a
Leave your answer in terms of pi
Example: if the diameter is 12, then the circumference is 12pi
8pi
yep that's the answer to part (a)
now you'll multiply that with (144/360) to get the piece of the curve
0.4? @jhonyy9
144/360 = 0.4 0.4*8pi = 3.2pi so the whole circumference is 8pi (answer to part a) the arc is 3.2pi (answer to part b)
Got it! Alright, what about the next three questions. (Want me to open another thread or) @jim_thompson5910
`Want me to open another thread` yes please. One thread per question
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