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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. Which equation represents a circle with center (2, −3) and radius 4?

    Answer: (x−2)² + (y+3)² = 16

    Standard form is (x−h)² + (y−k)² = r²; with (h,k)=(2,−3) and r=4, this gives (x−2)² + (y+3)² = 16.

  2. What is the surface area of a cube with side length 3?

    Answer: 54

    A cube has 6 square faces; SA = 6s² = 6(3²) = 54.

  3. An inscribed angle intercepts an arc of 100°. What is the measure of the inscribed angle?

    Answer: 50°

    The inscribed angle theorem states an inscribed angle equals half its intercepted arc: 100° ÷ 2 = 50°.

  4. In right triangle ABC, AB = 7, BC = 24, and angle B = 90°. What is sin(A)?

    Answer: 24/25

    Hypotenuse AC = √(7²+24²) = √625 = 25; sin(A) = opposite/hypotenuse = BC/AC = 24/25.

  5. A right cone has a base radius of 3 and a height of 4. What is its volume?

    Answer: 12π

    Volume of a cone = (1/3)πr²h = (1/3)π(9)(4) = 12π.

  6. A triangle has vertices at (0, 0), (4, 0), and (0, 3). What is its area?

    Answer: 6

    This is a right triangle with legs 4 and 3; Area = (1/2)(4)(3) = 6.

  7. What is the value of cos(60°)?

    Answer: 1/2

    cos(60°) = 1/2, a standard value derived from the 30-60-90 triangle or the unit circle.