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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Re: Help with arcs and areas please?????

Re: Help with arcs and areas please?????

It's in a different category though.

Re: Help with arcs and areas please?????

Quote:

Originally Posted by

**emily9843** It's in a different category though.

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

Re: Help with arcs and areas please?????

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

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?