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ineedhelponmyhw

  • 2 years ago

If arc AB measures 155°, what is the length of the radius of the circle, to the nearest hundredth? drawing pic now.

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  1. ineedhelponmyhw
    • 2 years ago
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    |dw:1342078364411:dw|

  2. Malaria
    • 2 years ago
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    Arc Length = Radius * Plane Angle Angle must be in radians

  3. ineedhelponmyhw
    • 2 years ago
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    can you help me out . i dont understand

  4. ineedhelponmyhw
    • 2 years ago
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    -.-

  5. Malaria
    • 2 years ago
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    Convert your angle to radians first. Do you know the formula for that?

  6. Malaria
    • 2 years ago
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    I'm here for you, it's not as bad as it looks.

  7. ineedhelponmyhw
    • 2 years ago
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    no thats the problem

  8. Malaria
    • 2 years ago
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    Ok, the conversion for degrees to radians is: \[Angle*\pi/180\]

  9. ineedhelponmyhw
    • 2 years ago
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    155*pi/180 ?

  10. Malaria
    • 2 years ago
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    Correct.

  11. ineedhelponmyhw
    • 2 years ago
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    2.705260341

  12. Malaria
    • 2 years ago
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    Okay, now solve the Arc Length formula for radius

  13. ineedhelponmyhw
    • 2 years ago
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    ?

  14. Malaria
    • 2 years ago
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    Solve the initial formula for radius: Arc Length = radius * angle

  15. ineedhelponmyhw
    • 2 years ago
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    486.9468613 = 2.705260341* 180 ?

  16. Malaria
    • 2 years ago
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    Hold on, I think you're a little confused still. We know the Arc Length: That was given in your drawing as 14cm We know the angle (that you converted to radians) as 2.705260341 What we're looking for is the radius of the circle that fits those conditions. We can use the formula that I have you to find any single piece of the info that we're missing if we're given the other two.

  17. ineedhelponmyhw
    • 2 years ago
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    i dont understand this at alll

  18. Malaria
    • 2 years ago
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    Let's call the Arc Length S and the Radius R and the Angle A. So: S=RA Divide through by A to get: S/A = R So the radius of the circle (R) is equal to the arc length (S) divided by the Angle in radians (A)

  19. ineedhelponmyhw
    • 2 years ago
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    can yu do for me?

  20. Malaria
    • 2 years ago
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    R = (14)/(2.705260341)

  21. Malaria
    • 2 years ago
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    So R = ?

  22. ineedhelponmyhw
    • 2 years ago
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    37.87364477 ?

  23. Malaria
    • 2 years ago
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    When I divide 14 by 2.705260341, I'm getting 5.175. Rounded to the nearest tenth, that should be 5.2

  24. ineedhelponmyhw
    • 2 years ago
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    oh whoops i accidentally mult instead of divide

  25. ineedhelponmyhw
    • 2 years ago
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    so the answer is 5.175102665 ?

  26. Malaria
    • 2 years ago
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    Yes, don't forget to round to the nearest tenth though.

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