1 Pure Mathematics
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Question 343
Figure 1 below shows a circle with centre C C\,C and equation
(x+2)2+(y+1)2=25(x + 2)^2 + (y + 1)^2 = 25(x+2)2+(y+1)2=25
The circle intersects the positive xxx-axis at A A\,A and intersects the positive yyy-axis at BBB. The sector ACB ACB\,ACB is shaded on the diagram.
a.[5]
Show that the angle ACB ACB\,ACB is 0.958 radians, correct to three significant figures.
b.[3]
Find the perimeter of the sector ACBACBACB, giving your answer to three significant figures.