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ineedhelponmyhw

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

  • one year ago
  • one year ago

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  1. ineedhelponmyhw
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    |dw:1342078364411:dw|

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

    • one year ago
  3. ineedhelponmyhw
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    can you help me out . i dont understand

    • one year ago
  4. ineedhelponmyhw
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    -.-

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

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

    • one year ago
  7. ineedhelponmyhw
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    no thats the problem

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

    • one year ago
  9. ineedhelponmyhw
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    155*pi/180 ?

    • one year ago
  10. Malaria
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    Correct.

    • one year ago
  11. ineedhelponmyhw
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    2.705260341

    • one year ago
  12. Malaria
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    Okay, now solve the Arc Length formula for radius

    • one year ago
  13. ineedhelponmyhw
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    ?

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

    • one year ago
  15. ineedhelponmyhw
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    486.9468613 = 2.705260341* 180 ?

    • one year ago
  16. Malaria
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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.

    • one year ago
  17. ineedhelponmyhw
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    i dont understand this at alll

    • one year ago
  18. Malaria
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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)

    • one year ago
  19. ineedhelponmyhw
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    can yu do for me?

    • one year ago
  20. Malaria
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    R = (14)/(2.705260341)

    • one year ago
  21. Malaria
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    So R = ?

    • one year ago
  22. ineedhelponmyhw
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    37.87364477 ?

    • one year ago
  23. Malaria
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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

    • one year ago
  24. ineedhelponmyhw
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    oh whoops i accidentally mult instead of divide

    • one year ago
  25. ineedhelponmyhw
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    so the answer is 5.175102665 ?

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

    • one year ago
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