DSAT DSAT Geometry and Trigonometry 1 — Questions and Answers
Question 1: A circle has a radius of 7. What is the area of the circle?
- 14π
- 28π
- 49π (Correct answer)
- 7π
Correct answer: 49π
The area of a circle is πr², so with r = 7, the area is π(7²) = 49π.
Question 2: In a right triangle, the two legs measure 9 and 12. What is the length of the hypotenuse?
- 13
- 15 (Correct answer)
- 18
- 21
Correct answer: 15
Using the Pythagorean theorem: 9² + 12² = 81 + 144 = 225, and √225 = 15.
Question 3: What is the volume of a rectangular prism with length 5, width 4, and height 3?
- 47
- 60 (Correct answer)
- 35
- 120
Correct answer: 60
Volume of a rectangular prism = length × width × height = 5 × 4 × 3 = 60.
Question 4: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of the co-interior (same-side interior) angle?
- 65°
- 115° (Correct answer)
- 25°
- 90°
Correct answer: 115°
Co-interior angles (same-side interior) are supplementary, so they add up to 180°; 180° − 65° = 115°.
Question 5: A triangle has angles measuring 45°, 90°, and 45°. If the hypotenuse is 10, what is the length of each leg?
- 5
- 5√2 (Correct answer)
- 10√2
- 5√3
Correct answer: 5√2
In a 45-45-90 triangle, each leg = hypotenuse ÷ √2 = 10 ÷ √2 = 5√2.
Question 6: What is the circumference of a circle with diameter 10?
- 5π
- 10π (Correct answer)
- 20π
- 100π
Correct answer: 10π
Circumference = πd = π × 10 = 10π.
DSAT DSAT Geometry and Trigonometry 1
A circle has a radius of 7.
What is the area of the circle?