You might want to first redraw the picture so that the arc looks more like its center is at O; that will help you see things right.View attachment 35032
A sector OAC subtended at O with radius 15 cm as shown in the figure above. Given length of AB is 12 cm, OB is 9 cm and AB is perpendicular to OC.
Find
i) the angle AOC in radian (2 marks)
ii) the area of the shaded region (3 marks)
I'm sorry but that's as far I can go. I do know the radius is 15 but I have no idea how to correlate any equations to find the angleYou might want to first redraw the picture so that the arc looks more like its center is at O; that will help you see things right.
Then show us what ideas you have.
Hint: What's the tangent of angle AOC?I'm sorry but that's as far I can go. I do know the radius is 15 but I have no idea how to correlate any equations to find the angle
but how do I find the tangent? I'm cluelessHint: What's the tangent of angle AOC?
-Dan
THANK YOUUU
thank you very muchhh!Notation: the length of a line-segment: [imath]\ell(\overline{AB})=12[/imath]
So that [imath]m(\angle AOC)=\arctan\left(\dfrac{\ell(\overline{AB})}{\ell(\overline{BO)}}\right)[/imath]
SEE THIS
[imath][/imath][imath][/imath][imath][/imath][imath][/imath]imath][/imath]