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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (12) · Pure Mathematics 1 - Question 13

Cambridge AS & A Level · Paper 1 (12) · Pure Mathematics 1

Question 13

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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 $C$.

**(b)** Find the angle $ACB$ in radians. Give your answer correct to 3 significant figures. (In part (a) you found $A(2, -2)$, $B(12, -2)$ and $C(7, -4)$.)

(answer in radians)
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