| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Circles |
| Type | Circle from diameter endpoints |
| Difficulty | Moderate -0.8 This is a straightforward C2 circle question requiring only direct application of standard formulas: distance formula for diameter length, midpoint formula for center, and circle equation from center and radius. All three parts are routine calculations with no problem-solving or geometric insight required, making it easier than average. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^21.03e Complete the square: find centre and radius of circle |
\includegraphics{figure_1}
In Figure 1, $A(4, 0)$ and $B(3, 5)$ are the end points of a diameter of the circle $C$.
Find
\begin{enumerate}[label=(\alph*)]
\item the exact length of $AB$,
[2]
\item the coordinates of the midpoint $P$ of $AB$,
[2]
\item an equation for the circle $C$.
[3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [7]}}