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Geometry & Trigonometry Flashcards

7 cards from real SAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A circle has a radius of 5. What is the area of the circle?

    Answer: 25π

    Area of a circle = πr², so π(5²) = 25π.

  2. In a right triangle, one leg is 3 and the hypotenuse is 5. What is the length of the other leg?

    Answer: 4

    By the Pythagorean theorem: 3² + b² = 5² → b² = 25 − 9 = 16 → b = 4.

  3. What is the measure of each interior angle of a regular hexagon?

    Answer: 120°

    Sum of interior angles = (6−2)×180° = 720°; each angle = 720°÷6 = 120°.

  4. If sin(θ) = 3/5 for an acute angle θ, what is cos(θ)?

    Answer: 4/5

    Using sin²θ + cos²θ = 1: cos²θ = 1 − 9/25 = 16/25, so cos θ = 4/5.

  5. What is the volume of a cylinder with radius 3 and height 4?

    Answer: 36π

    Volume = πr²h = π(3²)(4) = 36π.

  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?

    Answer: 115°

    Co-interior angles between parallel lines are supplementary, so 180° − 65° = 115°.

  7. What is the distance between the points (1, 2) and (4, 6)?

    Answer: 5

    Distance = √((4−1)² + (6−2)²) = √(9+16) = √25 = 5.