Pei Hwa Arc Length, Sector Area and Radian Measure Practice 1

Pei Hwa Secondary School Mathematics Department Secondary 4 NA Review Worksheet Name: ______________________________________ Class: ________ TG: ______ Date: ____________ Chapter 2: Arc Length, Sector Area and Radian Measure Success Criteria Success Criteria Indicate confidence level for each success criteria. 2.1 Length of Arc 1. I can identify what is arc length. 2. I can find arc length with given angle in degrees. 3. I can find angle with given arc length. 4. I can solve word problem involving arc length. 2.2 Area of sector 5. I can identify what is a sector of a circle. 6. I can find sector area with given angle in degrees. 7. I can find radius with given area sector. 8. I can identify what is a segment of a circle. 9. I can find area of segment. 10. I can solve word problem involving sector area and segment. 2.3 Radian measure 11. I can convert radians to degree. 12. I can convert degree to radian. 13. I can use calculator to evaluate trigonometric ratio of angles. 14. I can use calculator to evaluate inverse trigonometric ratio. 15. I can solve problems involving radian measure. 2.4 Arc length and sector area using radian measure 16. I can find arc length with given angle in radian measure. 17. I can find area sector with given angle in radian measure.

18. I can find segment with given angle in radian measure. 19. I can solve word problems involving radian measure.

1. Find the area of a sector of a circle with angle 5 4  radians and radius 9 cm. [2023, Dunearn Sec, Prelims, P1, Q6] 2. In the diagram, A and B lie on the circumference of a circle and O is the centre of the circle Given that angle AOB = 2.16 radians and the radius of the circle is 44 cm, calculate the perimeter of the minor sector, AOB. [2022, Kranji Sec, MYE, P2, Q4] 3. P and Q are points on the circle centre O. Angle POQ = 2.4 radians. The radius of the circle is 7 cm. Calculate (i) the length of minor arc PQ, (ii) the area of the segment shaded in the diagram. [2023, Bukit View Sec, Prelims, P2, Q11b] 4. The diagram shows a sector of a circle with radius 9 cm and angle x radians.

The sector has a perimeter of 31.2 cm. Calculate x . [2023, Hillgrove Sec, Prelims, P1, Q16] 5. A circle has centre O and radius 8 cm. The reflex angle 200 = AOC . (a) Calculate the minor arc length ABC. (b) Calculate the area of the minor shaded segment. [2023, Bendemeer Sec, Prelims, P1, Q22] 6. The points A and B lie on a circle centre O. The radius of the circle is 8 cm and ∠𝐴𝑂𝐵 is 1.72 radian. Find the (i) length of minor arc AB, (ii) length of line AB, (iii) perimeter of the shaded region.