GRADE 10 1. Convert each of the following angles from radians to degrees, giving your answer correct to 1 decimal place. (a) (b) (i)Show that OP is approximately 3.50 cm. (ii) Find the length of AP. 𝟓𝝅 (iii) Find the area of the shaded region. 𝟔 𝝅 𝟕 5. In the figure, O is the center of a circle of radius 26 cm. The length of minor arc is 52 cm. (c) 3.2 (d) 2.56 2. Convert each of the following angles from degrees to radians. (a) 37.4° (b) 78.9° (c) 142° (i) Show that angle AOB is approximately 114.6°. (d) 308° (ii) Hence, find the area of major sector OAPB. 3. Copy and complete the table for sectors of a circle. 6. In the figure, O is the center of a circle of radius 26 cm. The length of minor arc is 52 cm. Radius (a) (b) (c) (d) (e) (f) 7cm 35 cm Angle at center 72° Arc length Area Perimeter 136 mm 270° 150° 14 m 75° 1848 mm2 220 cm 55 m 154 mm2 (i) Show that angle AOB is approximately 126.1°. 4. In the figure, AB is an arc of circle centre O and radius 16 cm. P is a point on OB such that AP is perpendicular to OB and angle AOB = 1.35 radians. (ii) Hence, find the area of major sector OAPB. 7. In the figure, ABCD is a trapezium in which AB is parallel to DC, AB = 19 m, DC = 15 m and angle DCB is 90 degrees. PXB is an arc of a circle centre A and PYC is an arc of a circle centre D. (i)Show that angle ADC is approximately 96.8°. (ii) Hence, find the area of the shaded region.