SOLUTION: Hi could i please have help with the question (8ii) in the following link of an exam past question. Thank you http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%2

Algebra ->  Parallelograms -> SOLUTION: Hi could i please have help with the question (8ii) in the following link of an exam past question. Thank you http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%2      Log On


   



Question 865099: Hi could i please have help with the question (8ii) in the following link of an exam past question. Thank you
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20%289709%29/9709_w10_qp_13.pdf

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You could just use Geometry and Trigonometry.
Because the figure involves a rhombus and arcs of circles with a rhombus side as a radius,
AQ = AB = AD = BC = DC = PC = 5 cm
and angle BAD = 1.2 radians.
AMB is a right triangle, with an angle at A that measures 1.2%2F2=0.6 radians.
AM = ABcos(0.6)
PM = MQ = AQ - AM = AB - ABcos(0.6) = AB(1-cos(0.6))
PQ = PM + MQ = 2MQ = 2AB(1-cos(0.6))
Since AB = 5 cm, the length of PQ, in cm, is
2%2A5%2Acos%280.6%29=1.7466%28rounded%29=highlight%281.75%29 %22%28+rounded%22to3significant%22figures+%29%22