Question The diagram represents a metal plate , consisting of a sector of a circle with centre and radius , together with a triangle which is right-angled at C. Angle radians and is perpendicular to . i. Find an expression in terms of and for the perimeter of the plate. ii. For the case where and , find […]
Question In the diagram, ABCD is a parallelogram with AB=BD=DC=10cm and angle ABD= 0.8 radians. APD and BQC are arcs of circles with centres B and D respectively. i. Find the area of the parallelogram ABCD. ii. Find the area of the complete figure ABQCDP. iii. Find the perimeter of the complete figure ABQCDP. Solution i. Expression for the area […]
Question The diagram shows a circle touching a circle at a point . Circle has centre A and radius 6cm, and circle has centre B and radius 10 cm. Points D and E lie on and respectively and DE is parallel to AB. Angle radians and angle radians. i. By considering the perpendicular distances of D and E […]
Question In the diagram, AB is an arc of a circle, centre O and radius 6 cm, and angle radians. The line AX is a tangent to the circle at A, and OBX is a straight line. i. Show that the exact length of AX is cm. Find, in terms of and , ii. the area of the shaded region, […]
Question In the diagram, OAB is an isosceles triangle with and angle radians. Arc PST has centre O and radius , and the line ASB is a tangent to the arc PST at S. i. Find the total area of the shaded regions in terms of and . ii. In the case where and , find the total perimeter […]