Question The diagram shows a rhombus ABCD. Points P and Q lie on the diagonal AC such that BPD is an arc of a circle with centre C and BQD is an arc of a circle with centre A. Each side of the rhombus has length 5 cm and angle BAD = 1.2 radians. i. Find the area of the […]
Question The diagram shows points A, C, B, P on the circumference of a circle with centre O and radius 3 cm. Angle AOC = angle BOC = 2.3 radians. i. Find angle AOB in radians, correct to 4 significant figures. ii. Find the area of the shaded region ACBP, correct to 3 significant figures. Solution i. We know that […]
Question The diagram shows two circles, C1 and C2, touching at the point T. Circle C1 has centre P and radius 8 cm; circle C2 has centre Q and radius 2 cm. Points R and S lie on C1 and C2 respectively, and RS is a tangent to both circles. i. Show that RS=8 cm. ii. Find angle RPQ in radians […]
Question The diagram shows a metal plate ABCDEF which has been made by removing the two shaded regions from a circle of radius 10 cm and centre O. The parallel edges AB and ED are both of length 12 cm. i. Show that angle DOE is 1.287 radians, correct to 4 significant figures. ii. Find the perimeter of […]