For B) first box x = \"1\", \"4\", \"17.2\", second box \"sin\", \"cos\", third

Question

For B) first box x = "1", "4", "17.2", second box "sin", "cos", third box "4", "17.2", "4+17.2", "4*17.2", "4/17.2", and "17.2/4"

y= same options as above for all three boxes

A remote control car travels 17.2 feet counterclockwise (CCW) around a circle with radius 4 feet. The car begins at the 3 o'clock position on the circle (i.e. the point (4,0) in the xy- plane) (Click on the graph to get a larger version.) a) Express the angle measure in radians swept out by the car. b) Express the r and y coordinates of the final position of the car. c) Use a calculator to find these x and y coordinates rounded to the nearest hundredth of a foot.

Explanation / Answer

The distance covered by the car is one rotation is 2?r, in our case r=4

so 2?*4=8?

one rotation means 3600

so in x0 the car travels (8?/360)(x)

now given, the distance covered = 17.2

so, let the angle is x

(8?/360)(x)=17.2

so x=(17.2*360)/8?

x=246.370

converting degree to radian

(246.37*?)/180=4.299

the coordinate at given angle is (a+rcosx,b+rsinx)

where (a,b) is the center, r is the radius

In our case a=0,b=0 and x=246.370,r=4

putting the values

(4*cos(246.370),4*sin(246.370)

(-1.603,-3.664)

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