Sample Quiz

Which expression represents the length of arc AB in inches?

Consider the triangles below and complete the statement about whether the triangles are similar.

• 41°

• 55°

• 84°

A city is shaped like a circular region with a population of about 1,200,000 people and a population density of approximately 3,820 people per square mile. Find the radius of the city.

• about 3 miles

• about 5 miles

• about 8 miles

• about 10 miles

A radio tower broadcasts signals in a circular region. On a coordinate grid, the tower is located at (3, -2) and the signal reaches a point at (7, 2). What is the standard equation of the circle that represents the broadcast range of the radio signal?

• (x - 3)² + (y + 2)² = 32

• (x + 3)² + (y - 2)² = 32

• (x - 3)² + (y + 2)² = 16

• (x + 3)² + (y - 2)² = 16

What is the total area of the three 12-inch cookie cakes?

• 113 square inches

• 339 square inches

• 452 square inches

• 905 square inches

Consider the right triangle ABC below. Which of the following equations are true about the triangle? Select all that apply:

• tan C = 15/8

• sin A = 17/8

• tan C = 15/17

• cos B = 15/17

• sin A = 8/17

A recent survey asked students how they travel to and from school. The circle graph shows the results. Find the m∠ADB.

• 118.8°

• 165.6°

• 194.4°

• 241.2°

Consider the circle below, where MP is a diameter of the circle. What is the measure of angle MNP?

• 30°

• 45°

• 60°

• 90°

Determine the value of y given that MP is a diameter of the circle.

• y = 8

• y = 9.7

• y = 14

• y = 16

A circular playground is located at the origin of a coordinate plane. The playground has a radius of 37 meters. Which of the following ordered pairs represent the points along the edge of the playground?

• (1, 6)

• (−12, 35)

• (0, −37)

• (4, −√37)

• (−√73, 36)