WARM

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WARM UP
Choose a different place in the room to sit. You
may still sit by who you want, just pick a new
location.
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WARM UP 1 Unit 3 5/1/14
Decide whether the statement is true or false.
1. An angle measured in radians always has p.
2. The unit for radians is p. 3. 30o is the
same as 30 radians. 4. 1 radian is 180o. 5.
cos601/2 6. Convert 70 feet per second into
miles per hour. Round to the nearest whole
number. 7. Which of the following represents sine
as a circular function and which represents sine
as a trigonometric function? How do you know?
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WARM UP 2

4. Which of the following represents sine as a
circular function and which represents sine as a
trigonometric function? How do you know?
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WARM UP 3


4. Why does 2pi 360 degrees?
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WARM UP 4

1. Find the arc length of a circle that
intercepts a central angle of 182.1o and has a
radius of 12.4 mi. Round to 3 decimal places.

2. Find the sector area of a circle that
intercepts an angle of 5.6 radians and has a
radius of 90.3 km. Round to the tenth.

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WARM UP 5
To estimate the Earths radius, a Greek
astronomer noticed that the noontime position of
sun on summer solstice differed by 712 from
Syene to Alexandria. Use arc length formula to
estimate earths radius
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WARM UP 5
A frequent problem in surveying city lots and
rural lands adjacent to curves of highways and
railways is that of finding the area when one or
more boundary lines is the arc of a circle. Find
the whole area of the lot shown in the figure.
(Source Anderson, J. and E. Michael,
Introduction to Surveying, Mc-Graw-Hill,
1985)
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WARM UP 5
The speedometer of Terrys small pick-up truck is
designed to be accurate with tires of radius 14
in. Find the number of rotations of a tire in 1
hour if the truck is driven at 55 mph.
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WARM UP 5
Devin and Max are fooling around (shocker). They
took a bicycle wheel off of a bike and rolling it
to see who can make it go the farthest. Devin
gets the wheel to go 132 feet, while Max gets the
wheel to go 154 feet. How many more times did the
wheel rotate for Max than for Devin? Oh. The
radius of the wheel is 10 inches. Round your
answer to the nearest tenth of a rotation.
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WARM UP 6
Mrs. Gerrish spins the STD wheel so that a point
on the outside of the wheel is moving 20.3 miles
per hour. Given that the radius of the wheel is
23.4 cm, find the angular speed of the wheel in
rotations per sec. (2.54 cm 1 inch)
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WARM UP 7
It takes Jupiter 11.64 Earth years to make one
orbit around the sun. Find the speed of Jupiter
in miles per hour.
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WARM UP 8
Mrs. Gerrishs son, Timothy, is riding his
tricycle at 11 miles per hour (Yikes!). The
larger front wheel has a radius of 9 inches.
What is the angular speed (in rotations per sec)
of the wheel?
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WARM UP 9
Turn in Homework Packet and Extra Problems Sheet.
You do not need to staple it to that assignment
sheet. You may use a calculator and your
notecard during the whole test. Put the rest of
your stuff up front. NO IPADS at all during this
class. You will have NO homework this weekend.
Enjoy, because the Identities unit is next!