OAR OAR Math Skills: Geometry 2 — Questions and Answers
Question 1: A circle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
- 153.86 cm² (Correct answer)
- 43.96 cm²
- 615.44 cm²
- 196 cm²
Correct answer: 153.86 cm²
Radius = 7 cm; Area = π × r² = 3.14 × 49 = 153.86 cm².
Question 2: Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle is 65°, what is the other co-interior angle?
- 115° (Correct answer)
- 65°
- 25°
- 130°
Correct answer: 115°
Co-interior angles are supplementary, so 180° − 65° = 115°.
Question 3: A rectangular prism has length 8 in, width 5 in, and height 3 in. What is its surface area?
- 158 in² (Correct answer)
- 120 in²
- 79 in²
- 240 in²
Correct answer: 158 in²
SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2(79) = 158 in².
Question 4: What is the length of the hypotenuse of a right triangle with legs of 9 and 12?
- 15 (Correct answer)
- 21
- 18
- √225 − 81
Correct answer: 15
c² = 9² + 12² = 81 + 144 = 225, so c = 15 (a 3-4-5 triple scaled by 3).
Question 5: The circumference of a circle is 31.4 m. What is its radius? (Use π ≈ 3.14)
- 5 m (Correct answer)
- 10 m
- 15.7 m
- 2.5 m
Correct answer: 5 m
C = 2πr → r = C ÷ (2π) = 31.4 ÷ 6.28 = 5 m.
Question 6: A trapezoid has parallel bases of 10 ft and 6 ft, and a height of 4 ft. What is its area?
- 32 ft² (Correct answer)
- 24 ft²
- 40 ft²
- 64 ft²
Correct answer: 32 ft²
Area = ½ × (b₁ + b₂) × h = ½ × 16 × 4 = 32 ft².
Question 7: An angle measures 137°. What is the measure of its supplement?
- 43° (Correct answer)
- 53°
- 223°
- 47°
Correct answer: 43°
Supplementary angles sum to 180°; 180° − 137° = 43°.
OAR OAR Math Skills: Geometry 2
A circle has a diameter of 14 cm.
What is its area? (Use π ≈ 3.14)