9. Find the area of a circle having a circumference of 382. Round to the nearest tenth. Use 3.14 for 1. a. 1133.5 units b. 1078.6

9. Find the area of a circle having a circumference of 382. Round to the nearest tenth. Use 3.14 for 1.
a. 1133.5 units b. 1078.6 units?
c. 2267.1 units

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  1. The area of your circle is about 500.88
     
    Some backround info needed:

    Formula for circumference: C=2(3.14)(r)
    Formula for area of circle: A=3.14(r^2)
    -
    First, you need to find the radius of the circle. 
    Do this by dividing pi and 2 from 79.3.

    79.3 / 2 = 39.65
    39.65 / 3.14 = about 12.63

    The radious of the cirlce is 12.63.

    Now find the area:
    a = 3.14(12.63^2)

    12.63 x 12.63 = about 159.51

    159.51 x 3.14 = 500.883066

    Round .883 to .88

  2. [tex]42.1\ units^2[/tex]

    Step-by-step explanation:

    step 1

    Find the radius of the circle

    we know that

    The circumference of a circle is

    [tex]C=2\pi r[/tex]

    we have

    [tex]C=23\ units[/tex]

    assume

    [tex]\pi =3.14[/tex]

    substitute the given values and solve for r

    [tex]23=2(3.14) r[/tex]

    [tex]r=23/6.28[/tex]

    [tex]r=3.66\ units[/tex]

    step 2

    Find the area of the circle

    The area of the circle is

    [tex]A=\pi r^{2}[/tex]

    we have

    [tex]r=3.66\ units[/tex]

    [tex]\pi =3.14[/tex]

    substitute

    [tex]A=(3.14)(3.66)^{2}[/tex]

    [tex]A=42.1\ units^2[/tex]

  3. [tex]\displaystyle 415,5\:units^2 ≈ A[/tex]

    Step-by-step explanation:

    In the circumference, 27 represents the diameter, and the radius is half the diameter, so take half of it to get 11,5. Then use it in the area formula:

    [tex]\displaystyle πr^2 \\ \\ π11,5^2 = 132,25π ≈ 415,4756284 ≈ 415,5[/tex]

    I am joyous to assist you anytime.

  4. The equation for the circumference of a circle is [tex]c = 2 \pi r[/tex], where c=circumference and r=radius of the circle. 

    Since you know c = 34π, plug that into the equation for the circumference of the circle and solve for r, the radius:
    c = 2πr
    34π = 2πr
    34 = 2r
    r = 17

    The equation for the area of a circle is [tex]A = \pi r^{2}[/tex], where A=area of the circle and r=radius of the circle. 

    Since you know the radius = 17, plug that into the equation for the area of a circle to find the area:
    [tex]A = \pi r^{2}\\
A = \pi (17)^{2} \\
A = 289 \pi[/tex]

    The area of your circle is 289π.

  5. Circumference = 2 * PI * radius
    radius = circumference / 2 * PI

    radius =3 PI / 2 PI
    radius = 1.5 PI

    Circle Area = PI * radius ^2
    Circle Area = 2.25 PI

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