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What's the area of an ellipse with the major axis 20 m and the minor axis 10 m? Round your answer to the nearest whole number. A. 50 m2 B. 314 m2 C. 200 m2 D. 628 m2

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  • carlosego


    Answer:  157 m²


    Step-by-step explanation:

    1. To solve this problem you must apply the formula for calculat the area of an ellipse, which is shown below:

    A=ab\pi

    Where:

    a is the distance from the center to a vertex and b is the distance from the center to a co-vertex.

    2. So, you have:

    a=\frac{20m}{2}=10m\\b=\frac{10m}{2}=5m

    3. Then, you must substitute the values of a and b into the formula shown above.

    4. Therefore, you obtain that the result is:

    A=(10m)(5m)\pi\\A=157.07m^{2}

    A=157m^{2}


  • alinakincsem


    Answer:

    628 m^{2}

    Step-by-step explanation:

    We know that,

    the value of major axis of an eclipse = 20 m; and

    the value of the minor axis of an eclipse = 10 m

    The formula of finding the area of an eclipse is given below:

    Area of an eclipse = \pi ab

    where a and b are the values for the major and minor axis (radius) of eclipse.

    Area of an eclipse = \pi *20*10 = 628 m^{2}