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A circle has an area of 25 pi cm^2.If a circle is drawn within that circle with a diameter equal to the radius of the first circle, what is the area of the second circle?

a. 2 1/2 pi cm^2
b. 4 1/4 pi cm^2
c. 5 1/4 pi cm^2
d. 6 1/4 pi cm^2
e. 7 1/2 pi cm^2

please answer and explain

  • math -

    Since the radius of the new circle is 1/2 of the original, and the radius is squared in the area formula, the new area must be 1/4 of the original

    so what is (1/4) of 25 ?

  • math -

    d. 6 1/4 pi cm^2

  • math -

    correct

  • math -

    The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for mc004-1.jpg and round to the nearest tenth.)

  • math -

    The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for mc004-1.jpg and round to the nearest tenth.)

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