# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | Oct-Nov | (P1-9709/01) | Q#6

Question The diagram shows the sector OPQ of a circle with centre O and radius  cm. The angle POQ is  radians and the perimeter of the sector is 20 cm.      i.       Show that .    ii.       Hence express the area of the sector in terms of .   iii.       In the case where , find the length of the chord PQ. Solution […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#9

Question The diagram shows a semicircle ABC with centre O and radius 8 cm. Angle  radians. i.       In the case where , calculate the area of the sector BOC.    ii.       Find the value of  for which the perimeter of sector AOB is one half of the perimeter of sector BOC.   iii.       In the case where , show that the exact length […]