Geometry Geometry 2 — Questions and Answers
Question 1: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
Interior angle sum = (n-2)·180° = (6-2)·180° = 720°.
Question 2: A circle has a radius of 5. What is its area?
- 10π
- 25π (Correct answer)
- 50π
- 100π
Correct answer: 25π
Area = πr² = π(5²) = 25π.
Question 3: Two angles are complementary. If one measures 35°, what is the other?
- 45°
- 55° (Correct answer)
- 65°
- 145°
Correct answer: 55°
Complementary angles sum to 90°, so 90° − 35° = 55°.
Question 4: What is the length of the hypotenuse of a right triangle with legs 6 and 8?
- 10 (Correct answer)
- 12
- 14
- 48
Correct answer: 10
By the Pythagorean theorem, √(6² + 8²) = √100 = 10.
Question 5: A rectangle has length 12 and width 5. What is its perimeter?
- 17
- 34 (Correct answer)
- 60
- 68
Correct answer: 34
Perimeter = 2(l + w) = 2(12 + 5) = 34.
Question 6: How many degrees are in each interior angle of a regular pentagon?
- 72°
- 90°
- 108° (Correct answer)
- 120°
Correct answer: 108°
Each angle = 540° ÷ 5 = 108°.
Question 7: What is the volume of a cube with edge length 4?
- 12
- 16
- 48
- 64 (Correct answer)
Correct answer: 64
Volume = s³ = 4³ = 64.
Geometry Geometry 2
What is the sum of the interior angles of a hexagon?