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24 February, 01:46

In circle C the measure of arc AB=72. Find the measure of angle BCD

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Answers (2)
  1. 24 February, 01:49
    0
    When we have a circle of radius R, we have that the total perimeter of the circle is equal to:

    P = 2*pi*R

    Now, if we have an arc, this is only a section of the total perimeter, the measure of the arc is equal to:

    A = (θ/2*pi) * 2*pi*R = θ*R

    You can see that when θ = 2*pi, the term in the left is equal to 1 and we have the complete perimeter.

    Now, we have that the measure of the arc AB = 72, then we can find the angle as:

    A = 72 = θ*R

    then we solve this for theta:

    72/R = θ

    Where you can see that as bigger is the radius of the circle, smaller is the value of theta.

    Remember that this equation works with angles in radians.
  2. 24 February, 01:52
    0
    108

    Step-by-step explanation:

    the answer would be 108. 72+108=180, and the circumference of a circle is 360. the other half equals 180, so 180+180=360.

    Sorry if i'm bad at explaining ...
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