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coordinate plane

This topic has 1 expert reply and 1 member reply
Needgmat Master | Next Rank: 500 Posts Default Avatar
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coordinate plane

Post Sun Jul 10, 2016 2:07 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    In the coordinate plane, a circle has a center (2,-3) and passes through the point (5,0). What is the area of the circle?

    A) 3pie

    B) 3 under root 2 pie

    C) 3 under root 3 pie

    D) 9 pie

    E) 18 pie

    OAE

    Hi Experts ,

    I have to do coordinate geometry from the starting. Please advise from where should I do?

    Thanks,

    Kavin

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    Post Sun Jul 10, 2016 5:31 am
    Hi Needgmat,

    I'm going to give you a couple of hints so that you can attempt this question on your own:

    1) With Geometry/graphing questions, it often helps to draw a quick sketch of whatever the question describes.
    2) With the information in this prompt, you'll have a line segment that will equal the radius of the circle in question.
    3) Whenever you have a diagonal line segment on a graph, you can draw a right triangle 'around it' (with the diagonal line as the hypotenuse of the right triangle). In that way, you can figure out the length of the line segment.

    GMAT assassins aren't born, they're made,
    Rich

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    Thanked by: Needgmat
    OptimusPrep Master | Next Rank: 500 Posts
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    Post Sun Jul 10, 2016 7:55 pm
    Needgmat wrote:
    In the coordinate plane, a circle has a center (2,-3) and passes through the point (5,0). What is the area of the circle?

    A) 3pie

    B) 3 under root 2 pie

    C) 3 under root 3 pie

    D) 9 pie

    E) 18 pie

    OAE

    Hi Experts ,

    I have to do coordinate geometry from the starting. Please advise from where should I do?

    Thanks,

    Kavin
    Hi Kavin,

    For coordinate geometry, you need to understand the basics of the geometry too. That will help you in visualising the diagram.
    1. Understand the XY axes
    2. Distance between two points
    3. Slope of a line
    4. Relation between slope of two lines.

    There are some of the things that you should be well versed with.

    As for the question, since the circle passes through (5,0) the radius will be the line joining the centre (2,-3) and (5,0)
    Length of radius = (3^2+3^2)^(1/2) = 18^(1/2)

    Area = π*r^2 = π*18

    Correct Option: E

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