PRE CAL Reviewer 02

Which of the following defines a unit circle?

• A circle with center at (0, 0) and radius 1.

• A circle with center at (1, 1) and radius 1.

• A circle with center at (0, 0) and radius 2.

• A circle with center at (1, 1) and radius 2.

A circle has radius 20 cm. Find the length of the arc intercepted by a central angle of 270∘.

• 10𝜋 cm

• 13𝜋 cm

• 30𝜋 cm

• 540𝜋 cm

A central angle in a circle of radius 12 cm intercepts an arc of length 30 cm. What is the radian measure of the angle?

• 0.4 rad

• 2.5 rad

• 180𝜋 rad

• 360 rad

If the central angle is 2𝜋 radians and the arc length is 45 cm, find the radius.

• 0.14 cm

• 7.16 cm

• 22.5 cm

• 70.68 cm

Which of the following is the radian measure of 225∘?

• 2𝜋/3

• 3𝜋/2

• 4𝜋/5

• 5𝜋/4

What is the degree measure of 4𝜋/3?

• 120∘

• 240∘

• 480∘

• 540∘

Which of the following describes an angle in standard position?

• Vertex at the origin, initial side on the positive x-axis.

• Vertex at the origin, initial side on the negative x-axis.

• Vertex at the origin, initial side on the positive y-axis.

• Vertex at (1,1), one side along x-axis.

Which of the following is a coterminal angle of −135∘?

• −225∘

• −495∘

• 135∘

• 225∘

Which of the following is a coterminal angle of 2𝜋/3?

• −2𝜋

• −4𝜋/3

• −2𝜋/3

• −𝜋/3

A (shown) angle has its vertex at the origin but its initial side is not on the positive x-axis. Is it in standard position?

• Yes — vertex at origin and initial side on negative x-axis qualifies.

• Yes — vertex at origin and terminal side on negative y-axis qualifies.

• No — vertex is at origin but initial side must be on the positive x-axis.

• No — vertex is at origin but terminal side must be on positive y-axis.