# limit of the area of a circular segment to the area of the inscribed isosceles triangle as the arc angle tends to $0$. $$A$$: The area of a circular segment with chord of length $$b$$, and height $$h$$.

$$B$$: The area of the isosceles triangle inscribed into the shape described in A.

Find of the limit of $$A/B$$ when the arc angle tends to $$0$$, then use that limit to approximate the area of a circular segment.

My main confusion with the question comes from the fact that to find the specified limit, I will need to use the formula for a circular segment, which is what im trying to prove in the first place.

• You are asked to derive "approximate formula" which is probably limit times the area of the triangle. Mar 3 at 3:51
• yes, but in evaluating the limit, you need to find the area of the segment, which is what you are trying to find in the first place. Mar 3 at 12:46 Essentially, you find the area of $$A$$ and $$B$$ in terms of the arc angle, then take the limit as the angle tends to $$0$$. Using the result, multiply it into the formula for $$B$$, thus approximating the area of $$A$$ in terms of only $$b$$, and $$h$$.