Question 14
The diagram shows the circle with equation $x^2 + y^2 - 14x + 8y + 36 = 0$ and the line $y = -2$. The line intersects the circle at the points $A$ and $B$. The centre of the circle is $C$.
**(c)** The chord $AB$ divides the circle into two segments.
Find the area of the larger segment. (In part (a) you found $A(2, -2)$, $B(12, -2)$ and $C(7, -4)$.) (In part (b) you found angle $ACB = 2.38$ radians, to 3 significant figures.)
