Math 3 EOC Review - Circles

What is the radius of a circle with the following equation?

x² + y² - 8x + 10y - 8 = 0

• 7

• 14

• 49

• 24.5

A sprinkler is spraying water in a radius of 10 yards at a rotation of 80 degrees. What is the approximate area of ground covered by the water from the sprinkler?

• 62.4 square yards

• 64.8 square yards

• 69.8 square yards

• 73.2 square yards

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

• 10π/3 inches

• 2π/15 inches

• π/5 inches

• 5π/3 inches

• A
• B
• C
• D

• A
• B
• C
• D

What is the center and radius of the circle given below?

 $\left(x-\ 4\right)^2\ +\ \left(y\ +\ 3\right)^2\ =\ 25$  

• C(-4, 3) radius = 25

• C(4, -3) radius = 25

• C(4, -3) radius = 5

• C(-4, -3) radius = 5

How many degrees is

 $\frac{\pi}{2}radians?$  

• 180

• 90

• 270

• 360

What is the coordinate on the unit circle at 30⁰?

• (1/2, √3/2)

• (√3/2, 1/2)

• (√2/2, √2/2)

• (√2/2, 1/2)

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

• 30

• 330

• 210

• 120

The diagram below shows an angle $\ \theta$ , graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0,0).  The x-coordinate of the point M is -1/2. What is the measure of  $\theta$  to the nearest thousandth of a radian?

• 4.712

• 4.189

• 3.927

• 3.665