2 4 Graphs of Sine and Cosine: Problem 5 Previous Problem List Next 1 point) Sec

Question

2 4 Graphs of Sine and Cosine: Problem 5 Previous Problem List Next 1 point) Section 7.3 Problem 35 A particular CD has a total diameter of 145 millimeters, with a hole on the inside of 25 millimeters. The center of the disc is at the origin. (a) What are the coordinates of the points at which the inner and outer edges of the CD intersect the positive x-axis? )mm) rom Inner edge of CD: (x,y)-( mm,( Outer edge of CD: (x,y) = (b) What are the coordinates of the points at which the inner and the outer edges cut a line of angle t with the positive x-axis? Inner edge of CD: (x,y)= Outer edge of CD: (x,y) nom nom

Explanation / Answer

Solution :- We can draw a two concentric circles with the center at the origin.

The diameters are 145/2 = 72.5 and 25/2 = 12.5

So , The inner edge crosses the positive x-axis at (12.5 ,0) mm
The outer edge crosses the positive x-axis at (72.5,0) mm

For the second part I assume that the line is starting at the origin and angles up t degrees.

Converting from rectangular coordinates to polar you use
x = r cos (t) and y = r sin (t)
So the coordinates are for the inner circle
x = 12.5cos (theta) y = 12.5 sine (theta)
and for the outer circle
x = 72.5 cos (theta) mm
y = 72.5 sine (theta) mm

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