Thread: Area Expressions in a Triangle/Circle

1. Area Expressions in a Triangle/Circle

Can someone help me determine how to find expressions for the Areas A and B (with respect to theta)?

I understand how to find the area of triangle POR but I'm having trouble see how to find the area of A.

2. Originally Posted by ty2391

Can someone help me determine how to find expressions for the Areas A and B (with respect to theta)?

I understand how to find the area of triangle POR but I'm having trouble see how to find the area of A.
Im presuming that this is from a segment of a circle

$\displaystyle \therefore OR = OP$

So then use the equation for Area of a triangle and divide it by two to get an expression for B in terms of $\displaystyle \theta$

As for A i cant remember my C2 too well, but im sure you use the formula along the lines of $\displaystyle \theta \cdot r^2 \cdot \frac{1}{2}$

3. Total area of sector - area of triangle POR.
Remember a scetor is theta/360 of a circle (if theta is in degrees)