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ineedhelponmyhw Group Title

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

  • 2 years ago
  • 2 years ago

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  1. ineedhelponmyhw Group Title
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    |dw:1342078364411:dw|

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

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

    • 2 years ago
  4. ineedhelponmyhw Group Title
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    -.-

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

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

    • 2 years ago
  7. ineedhelponmyhw Group Title
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    no thats the problem

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

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

    • 2 years ago
  10. Malaria Group Title
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    Correct.

    • 2 years ago
  11. ineedhelponmyhw Group Title
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    2.705260341

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

    • 2 years ago
  13. ineedhelponmyhw Group Title
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    ?

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

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

    • 2 years ago
  16. Malaria Group Title
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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.

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

    • 2 years ago
  18. Malaria Group Title
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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)

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

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

    • 2 years ago
  21. Malaria Group Title
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    So R = ?

    • 2 years ago
  22. ineedhelponmyhw Group Title
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    37.87364477 ?

    • 2 years ago
  23. Malaria Group Title
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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

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

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

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

    • 2 years ago
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