SATs Geometry & Trigonometry 1 — Questions and Answers
Question 1: What is the area of a circle with radius 5?
- 10π
- 25π (Correct answer)
- 50π
- 5π
Correct answer: 25π
Area = πr² = 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, so b² = 16 and b = 4.
Question 3: What is the sum of the interior angles of any triangle?
- 90°
- 180° (Correct answer)
- 270°
- 360°
Correct answer: 180°
The interior angles of any triangle always sum to exactly 180°.
Question 4: In a right triangle, sin(θ) = 3/5. What is cos(θ)?
- 4/5 (Correct answer)
- 3/4
- 5/3
- 5/4
Correct answer: 4/5
Using sin²θ + cos²θ = 1: (9/25) + cos²θ = 1, so cos²θ = 16/25 and cosθ = 4/5.
Question 5: What is the circumference of a circle with diameter 10?
- 5π
- 10π (Correct answer)
- 20π
- 100π
Correct answer: 10π
Circumference = πd = π(10) = 10π.
Question 6: Two parallel lines are cut by a transversal. One co-interior (same-side interior) angle measures 65°. What is the other co-interior angle?
- 65°
- 115° (Correct answer)
- 25°
- 130°
Correct answer: 115°
Co-interior angles between parallel lines are supplementary and add to 180°; 180° − 65° = 115°.
Question 7: What is the volume of a cylinder with radius 3 and height 4?
- 12π
- 36π (Correct answer)
- 48π
- 24π
Correct answer: 36π
Volume = πr²h = π(3²)(4) = 36π.
SATs Geometry & Trigonometry 1
What is the area of a circle with radius 5?