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 (Giggle)


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Do not double post.

It's in a different category though.

Quote:

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Originally Posted by emily9843

It's in a different category though.

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That makes no difference. Do not post the same question twice regardless.

If you believe this is a better category, go back and delete the old post.

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?