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Math Help - Help with arcs and areas please?????

  1. #1
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    Help with arcs and areas please?????

    A badge is made of a circle centre O, with radius 5cm and a chord AB of length 6cm creating a blue minor segment at the bottom. Give all your answers to 1 decimal place.

    Find:
    The angle AOB at the centre
    The length of the minor arc AB
    The area of the triangle AOB.
    The area of the yellow major segment.


    How do I do this? Please show the steps!! Thank you, I am so confused



    Here is the screen shot of the question (it has a diagram) Please help me. thanks - also i just typed in random numbers to get the grey answers on the bottom



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  2. #2
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    Re: Help with arcs and areas please?????

    Do not double post.
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  3. #3
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    Re: Help with arcs and areas please?????

    It's in a different category though.
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    Re: Help with arcs and areas please?????

    Quote Originally Posted by emily9843 View Post
    It's in a different category though.
    That makes no difference. Do not post the same question twice regardless.
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    Re: Help with arcs and areas please?????

    If you believe this is a better category, go back and delete the old post.
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  6. #6
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    Re: Help with arcs and areas please?????

    Hi Emily9873,
    Your reference drawing is clear.
    Draw the perpendicular bisector of AB meeting AB @M. Triangle OMB is a right triangle sides 3,4,5 from PYTheorem or knowing this special triangle
    tan BOM =3/4. Arc tan 3/4=36.9 deg.AOB = 73,8deg You convert to radians
    Can you do the rest?
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