HG U6D9 Circle Around Nov11

A Ferris Wheel picks up riders at 270^o and rotates 1/12 of the circle counter-clockwise to pick up the next rider.

The angle of rotation converted to radians would be .

A similar Ferris Wheel rotated (5π)/9. How many degrees is this?

(5π)/9 = ^o

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 .

Alice goes for a walk on a beach. Starting from her towel , (0,0), she walks 50 meters heading North-East 45^o. After walking 50 meters from her towel, her new coordinates with respect to the origin are (,). Round your answers to the nearest hundredth.

Lance bikes 20 miles, heading south-west (from the origin) at an angle of 240^o.

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 .

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:

(x - 4)² + (x + 1)² = 64 is the equation of a , with its center at (,) and a radius of units.

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

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.

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.

Write the standard equation of the circle.

The equation of the pictured circle in standard form is .

Find the value(s) of the variable(s).

q =

r =