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HG U6D9 Circle Around Nov11

Last updated 7 months ago
12 questions
1
A Ferris Wheel picks up riders at 270o and rotates 1/12 of the circle counter-clockwise to pick up the next rider.
The angle of rotation converted to radians would be _______.
1
A similar Ferris Wheel rotated (5π)/9. How many degrees is this?

(5π)/9 = _______o
1
An apple pie is cut into 12 equal slices. The diameter of the pie is 9 inches.

a. The arc length of one pie piece is _______ inches.

b. The area of two slices is _______ inches2.

c. The central angle of three slices converted to radians would be _______.
1
Alice goes for a walk on a beach. Starting from her towel , (0,0), she walks 50 meters heading North-East 45o. After walking 50 meters from her towel, her new coordinates with respect to the origin are (_______,_______). Round your answers to the nearest hundredth.
1
Lance bikes 20 miles, heading south-west (from the origin) at an angle of 240o.
Round your answers to the nearest hundredth.
a. After 20 miles, his coordinates with respect to the origin are (_______, _______).
b. The reference angle from this position is _______o.
c. The reference angle converted to radians would be _______.
1
Fred wants to draw a circle with its center at (-12,14) and a diameter of 22 units.
The equation Fred should use to draw this circle is: _______
1
(x - 4)2 + (x + 1)2 = 64 is the equation of a _______, with its center at (_______,_______) and a radius of _______units.
1
Find the measure of each numbered angle in ⊙P.
Be prepared to justify your answer.

a. The measure of angle 1 = _______o
b. The measure of angle 2 = _______o
1
Find the measure of each numbered angle in ⊙P.
Be prepared to justify your answer.

a. The measure of angle 1 = _______o.

b. The measure of angle 2 = _______o.
1
Find the measure of each numbered angle in ⊙P.
Be prepared to justify your answer.

a. The measure of angle 1 = _______o.

b. The measure of angle 2 = _______o.

c. The measure of angle 3 = _______o.
1
Write the standard equation of the circle.

The equation of the pictured circle in standard form is _______.
1
Find the value(s) of the variable(s).

q = _______

r = _______