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A triangle has an area of 15 cm^2 and a base of 5 cm. If a circle is drawn with a diameter equal to the length of the triangle's height, what is the area of the circle ?

a. 6 pi cm^2
b. 9 pi cm^2
c. 12 pi cm^2
d. 18 pi cm^2
e. 36 pi cm^2

please answer and explain

  • math -

    since a = bh/2, we have
    h = 2a/b = 2*15/5 = 6

    for a circle, a = pi r^2 = 9pi

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