# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/12) | Q#7

Question A piece of wire of length 50 cm is bent to form the perimeter of a sector POQ of a circle. The radius of the circle is r cm and the angle POQ is q radians (see diagram). i.       Express  in terms of r and show that the area, Acm2, of the sector is given by    .    […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | May-Jun | (P1-9709/01) | Q#5

Question The diagram shows a circle with centre O. The circle is divided into two regions,  and , by the radii OA and OB, where angle  radians. The perimeter of the region  is equal to the length of the major arc AB. i.       Show that .    ii.       Given that the area of region  is 30 cm2, find the area of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/11) | Q#5

Question The diagram shows a semicircle ABC with centre O and radius 6 cm. The point B is such that angle BOA is 90o and BD is an arc of a circle with centre A. Find i.       the length of the arc BD,    ii.       the area of the shaded region. Solution      i.   Expression for length of a […]