The function f(r) = π determines the area of a circle in cm2, A, in terms of the radius of the circle in cm, r. a. Write a function g that d

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The function f(r) = π determines the area of a circle in cm2, A, in terms of the radius of the circle in cm, r. a. Write a function g that determines the radius of a circle in cm, r, in terms of the area of the cirlce in cm2,A. 9(A)t Preview syntax error b. Use function notation to answer the following questions: i. What is the area (in cm2) of a circle whose radius is 2.58 cm? Preview ii, What is the radius (in cm) of a circle whose area is 1530 cm? *Preview iii. How much greater is the area of a circle whose radius is 15.2 cm than the area of a circle whose radius is 15.1 cm?

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Ivy 3 weeks 2021-12-30T21:39:59+00:00 1 Answer 0 views 0

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    2021-12-30T21:41:12+00:00

    Answer with Step-by-step explanation:

    We are given that

    a.f(r)=\pi r^2

    A=\pi r^2

    r^2=\frac{A}{\pi}

    g(A)=r=\sqrt{\frac{A}{\pi}}

    b.Radius=2.58 cm

    Substitute the values in the formula and \pi=3.14

    f(2.58)=3.14(2.58)^2=20.9 cm^2

    Hence, the area of circle =20.9 square cm

    c.Area of circle=1530 square cm

    r=\sqrt{\frac{1530}{3.14}}=22.07 cm

    Hence, the radius of circle=22.07 cm

    c.Area of circle of radius 15.2 cm=A_1=3.14(15.2)^2=725.47 cm^2

    Area of circle of radius 15.1 cm=A_2=3.14(15.1)^2=715.95 cm^2

    A_1-A_2=725.47-715.95=9.52 cm^2

    Hence, the area of circle whose radius is 15.2 cm is greater than the area of circle of radius 15.1 cm by 9.52 square cm .

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