The diagram shows a circle, with centre CCC, where C C\,C has coordinates (−3,−3)(-3,-3)(−3,−3). The circle intersects the xxx-axis at A A\,A and intersects the yyy-axis at BBB. The sector ABC ABC\,ABC is shown on the diagram.
The angle ACB ACB\,ACB is π6\displaystyle \frac{\pi}{6}6π radians and the perimeter of sector ABC ABC\,ABC is 12+π12+\pi12+π.
Show that the equation of the circle is (x+3)2+(y+3)2=36(x+3)^2+(y+3)^2=36(x+3)2+(y+3)2=36.
Find the coordinates of A A\,A and BBB.
278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.