AMC12 Geometry

Question 1

A circle has area 16pi. What is its circumference?

Accepted Answer

8pi

Answer

4pi

Answer

16pi

Answer

2pi

Question 2

In right triangle ABC with right angle at B, AB=5 and BC=12. What is sin(A)?

Accepted Answer

12/13

Answer

5/13

Answer

5/12

Answer

12/5

Question 3

The diagonals of a rhombus are 6 and 8. What is its side length?

Accepted Answer

5

Answer

7

Answer

10

Answer

4

Question 4

A rectangle has perimeter 34 and area 60. What is the length of its diagonal?

Accepted Answer

13

Answer

15

Answer

11

Answer

17

Question 5

What is the area of an equilateral triangle with side length 4?

Accepted Answer

4sqrt(3)

Answer

8sqrt(3)

Answer

2sqrt(3)

Answer

16sqrt(3)

Question 6

Two circles of radius 3 and 5 are externally tangent. What is the distance between their centers?

Accepted Answer

8

Answer

2

Answer

15

Answer

4