help with this question pls. working and explanation please..
Let a equal the radius. You can work out the sector area of COB by applying the formula from C2. We can call this area X.
Next we need to find the area of the minor segment cut off by AC. We can apply the same formula with the angle being ΟβΞΈ and find the area of the sector COA, lets call this area Y. In order to find the minor segment area, we need to subtract the area of the triangle away from the sector. You can work out the area of the triangle from the formula involving sine, call this area T. Do YβT to get your minor segment. Once you have the area of the minor segment, let's call it Z, you can say that Z=2X from the information you are given.
The a's should cancel everywhere and you should rearrange to get your required answer. Remember that sin(ΟβΞΈ)=sin(ΞΈ)
This is my working. Sorry I'm new to this website and I don't know how stuff works haha. By the way how do u type the pi ( sorry for the pie) symbols. thanks!!
This is my working. Sorry I'm new to this website and I don't know how stuff works haha. By the way how do u type the pi ( sorry for the pie) symbols. thanks!!
Don't worry about it. Very good work so far. Mistake on the last line. You have
Your mistake was mutliplying the LHS by two but forgetting about the RHS, your factors of 21β disappeared without the ΞΈ on the right changing to 2ΞΈ,
This is my working. Sorry I'm new to this website and I don't know how stuff works haha. By the way how do u type the pi ( sorry for the pie) symbols. thanks!!
Last two lines; you forgot to multiply the right hand side by 2.