Math 12 – Chapter 6 Test – Fall ‘02 Name_____________________________
Show all work on separate paper.
1. A child rides on a merry-go-round horse which is at a distance of 15 ft from the center of the merry-go-round. After 8 minutes the child had traveled 13.4 revolutions.
a. What is the radian measure of the angle the child has swept out during the 8 minutes?
b. What linear distance has the child traveled?
c. What
was the average angular speed of the child during the 8 minutes?
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2. In the figure at right, suppose the circle centered at B has radius 4. a. What is the length of AD? b. What is the length of AC? c. What is a measure of angle ? |
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3. Suppose
that a triangle has sides with lengths 3, 8 and 10. Find the interior angles.
4. Suppose in quadrant
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5. The circle shown at right has the equation . a. Find the distance between the y-intercepts. b. Show that the central angle of the sector is given by . c.
Approximate the shaded area to the nearest
thousandth. |
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6. The diagram shows circular quadrilateral ABCD with diagonals AB and CD. a. Show that if we construct M as shown so that then b. Show that c. Conclude that
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