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5 March, 16:45

Convert the angle / theta=260^/circθ=260



theta, equals, 260, degrees to radians.

Express your answer exactly.

/theta=θ=theta, equals

radians

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Answers (1)
  1. 5 March, 17:55
    0
    Question:

    Convert the angle θ=260° to radians.

    Express your answer exactly.

    θ = ___ radians

    Answer:

    260° = 13π/9 or 4.54 rad

    Step-by-step explanation:

    Given

    θ=260°

    Required

    Convert from degree to radians

    To convert an angle in degrees to radians, we simply follow the steps below.

    1° = 1 * π/180 rad

    Replace the 1° with x

    So,

    x° = x * π/180 rad.

    Now, we assume that x = 260

    This means that we substitute 260 for x. This gives

    260° = 260 * π/180

    260° = 260π/180

    Divide numerator and denominator by 20

    260° = 13π/9

    We can leave the answer in this form or solve further.

    Take π as 22/7. This gives

    260° = 13/9 * 22/7

    260° = 286/63

    260° = 4.5396825397

    260° = 4.54 rad (Approximated)
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