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GMAT - Graduate Management Admission Quantitative: Geometry and Coordinate Geometry Flashcards

6 cards from real GMAT 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; with r = 5, the area = π(25) = 25π.

  2. In a right triangle, the two legs measure 6 and 8. What is the length of the hypotenuse?

    Answer: 10

    By the Pythagorean theorem, c² = 6² + 8² = 36 + 64 = 100, so c = 10.

  3. What is the slope of a line passing through the points (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2.

  4. The perimeter of a rectangle is 36, and its length is twice its width. What is the area?

    Answer: 72

    Let width = w; 2(2w + w) = 36 gives w = 6, length = 12, and area = 6 × 12 = 72.

  5. What is the distance between the points (1, 2) and (4, 6) in the coordinate plane?

    Answer: 5

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

  6. A square has an area of 49. What is the length of its diagonal?

    Answer: 7√2

    The side = √49 = 7, and the diagonal of a square with side s is s√2, so the diagonal = 7√2.