AIME Geometry

Question 1

A circle has center (3, -1) and passes through (7, -1). What is its area?

Accepted Answer

16π

Answer

8π

Answer

4π

Answer

12π

Question 2

In a right triangle with legs 5 and 12, what is the length of the hypotenuse?

Accepted Answer

13

Answer

17

Answer

11

Answer

15

Question 3

Two parallel lines are cut by a transversal. If one interior angle is 65°, what is the co-interior (same-side interior) angle?

Accepted Answer

115°

Answer

65°

Answer

125°

Answer

55°

Question 4

A rectangle has perimeter 36 and width 6. What is its area?

Accepted Answer

72

Answer

54

Answer

90

Answer

36

Question 5

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

Accepted Answer

4√3

Answer

8√3

Answer

2√3

Answer

16√3

Question 6

A sector of a circle has radius 6 and central angle 60°. What is the arc length?

Accepted Answer

2π

Answer

π

Answer

3π

Answer

6π