AMC12 Geometry 3

Question 1

What is the area of a regular hexagon with side length 2?

Accepted Answer

6sqrt(3)

Answer

12sqrt(3)

Answer

3sqrt(3)

Answer

24sqrt(3)

Question 2

A sphere has surface area 100pi. What is its volume?

Accepted Answer

500pi/3

Answer

100pi/3

Answer

250pi

Answer

200pi/3

Question 3

In a right triangle with legs 5 and 12, what is the altitude drawn from the right angle to the hypotenuse?

Accepted Answer

60/13

Answer

5/12

Answer

12/5

Answer

5*12

Question 4

An external point is 5 units from the center of a circle with radius 3. What is the tangent segment length?

Accepted Answer

4

Answer

2

Answer

sqrt(34)

Answer

8

Question 5

The diagonals of a parallelogram are 10 and 14 and intersect at right angles. What is the perimeter?

Accepted Answer

4sqrt(74)

Answer

2sqrt(74)

Answer

sqrt(74)

Answer

8sqrt(74)

Question 6

What is the circumradius of a triangle with sides 3, 4, and 5?

Accepted Answer

5/2

Answer

5

Answer

2

Answer

3