College Math Placement Test Geometry 4

Question 1

What is the equation of a circle centered at (3, −2) with radius 7?

Accepted Answer

(x−3)² + (y+2)² = 49

Answer

(x+3)² + (y−2)² = 49

Answer

(x−3)² + (y+2)² = 7

Answer

(x−3)² + (y−2)² = 49

Question 2

A regular hexagon has a side length of 6. What is its area?

Accepted Answer

54√3

Answer

36√3

Answer

72√3

Answer

108

Question 3

Lines l and m are parallel. A transversal creates corresponding angles of (3x + 10)° and (5x − 20)°. What is x?

Accepted Answer

15

Answer

10

Answer

20

Answer

5

Question 4

A trapezoid has parallel sides of length 8 and 14 and a height of 5. What is its area?

Accepted Answer

55

Answer

110

Answer

56

Answer

70

Question 5

What is the volume of a sphere with radius 3?

Accepted Answer

36π

Answer

12π

Answer

108π

Answer

27π

Question 6

In a right triangle, one acute angle is 30°. If the hypotenuse is 20, what is the side opposite the 30° angle?

Accepted Answer

10

Answer

10√3

Answer

20√3

Answer

20/√3

Question 7

A chord is 8 cm long and is 3 cm from the center of a circle. What is the radius of the circle?

Accepted Answer

5 cm

Answer

4 cm

Answer

√55 cm

Answer

√73 cm