Question

a. the terminal points distance to the right of the circles vertical diameter measures
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try again remember that the terminal points distance to the right of the circles vertical diameter is measured in cm on the diagram we want to measure this quantity in radius lengths to do this requires comparing
the size of the blue arrow to the circles radius

b. thus, we say that cos(0.4) = 2.75

c. in the given applet you can drag the terminal point to adjust the angle measure 0 (measured in radians) the terminal points distance to the right of the circles vertical diameter is also represented by the length of the blue
arrow

use the applet to vary the angle measure from 0 to radians (or from 0 to about 1.57 radians)

0 = 0.01 1.00 radius length(s)

Explanation:

Step1: Find the radius of the circle

The radius \(r\) of the circle is \(1.25\) cm.

Step2: Calculate the number of radius lengths

The distance to the right of the vertical diameter is \(2.75\) cm. To find the number of radius lengths, we use the formula \(n=\frac{d}{r}\), where \(d = 2.75\) cm and \(r=1.25\) cm. So \(n=\frac{2.75}{1.25}=2.2\)

Answer:

\(2.2\)