Mathematics

Question

please help asap!!!!!!
please help asap!!!!!!

2 Answer

  • Hello!

    The answer is:

    The difference between the areas of the circles will be:

    [tex]Difference=36\pi -9\pi =27\pi[/tex]

    Why?

    To find the diffence in area between the two circles, we need to find both areas and then, subtract the smallest circle area to the largest circle area.

    So,

    For the small circle, we have:

    [tex]Area_{SmallCircle}=\pi *radius^{2} \\\\Area_{SmallCircle}=\pi *(3)^{2}=9\pi[/tex]

    For the large circle, we have:

    [tex]Area_{LargeCircle}=\pi *radius^{2} \\\\Area_{LargeCircle}=\pi *(6)^{2}=36\pi[/tex]

    Hence, we have that the difference between the areas of the circles will be:

    [tex]Difference=36\pi -9\pi =27\pi[/tex]

    Have a nice day!

  • Answer:

    Difference = 27π square units

    Step-by-step explanation:

    Points to remember

    Area of circle = πr²

    Where r - Radius of circle

    To find the area of large circle

    Here r = 6 units

    Area = πr²  = π * 6²

     = 36π square units

    To find the area of small circle

    Here r = 3 units

    Area = πr²  = π * 3²

     = 9π square units

    To find the difference

    Difference = area of large circle - area of small circle

     = 36π - 9π = 27π square units

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