SAT Geometry & Trigonometry 1 — Questions and Answers
Question 1: A circle has a radius of 5. What is the area of the circle?
- 10π
- 25π (Correct answer)
- 50π
- 5π
Correct answer: 25π
Area of a circle = πr², so π(5²) = 25π.
Question 2: In a right triangle, one leg is 3 and the hypotenuse is 5. What is the length of the other leg?
- 2
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
By the Pythagorean theorem: 3² + b² = 5² → b² = 25 − 9 = 16 → b = 4.
Question 3: What is the measure of each interior angle of a regular hexagon?
- 90°
- 108°
- 120° (Correct answer)
- 135°
Correct answer: 120°
Sum of interior angles = (6−2)×180° = 720°; each angle = 720°÷6 = 120°.
Question 4: If sin(θ) = 3/5 for an acute angle θ, what is cos(θ)?
- 4/5 (Correct answer)
- 3/4
- 5/3
- 5/4
Correct answer: 4/5
Using sin²θ + cos²θ = 1: cos²θ = 1 − 9/25 = 16/25, so cos θ = 4/5.
Question 5: What is the volume of a cylinder with radius 3 and height 4?
- 12π
- 24π
- 36π (Correct answer)
- 48π
Correct answer: 36π
Volume = πr²h = π(3²)(4) = 36π.
Question 6: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of its co-interior (same-side interior) angle?
- 65°
- 115° (Correct answer)
- 25°
- 90°
Correct answer: 115°
Co-interior angles between parallel lines are supplementary, so 180° − 65° = 115°.
Question 7: What is the distance between the points (1, 2) and (4, 6)?
- 3
- 4
- 5 (Correct answer)
- 7
Correct answer: 5
Distance = √((4−1)² + (6−2)²) = √(9+16) = √25 = 5.
SAT Geometry & Trigonometry 1
A circle has a radius of 5.
What is the area of the circle?