# angles, circles, arcs & sectors

** Quick links**:

► downloadable teaching materials for angles, circles, arcs & sectors

► syllabus content for the Trigonometry Topic:

**SL syllabus**(see syllabus section 3.1);

**HL syllabus**(see syllabus section 3.1)

Most questions involving circles, radian measure, arcs and sectors require what I like to refer to as **geometric problem solving**. This kind of problem solving puts a lot of emphasis on carefully interpreting (and possibly constructing) geometric diagrams, coming up with some visual and/or geometric insights involving a diagram, and then organizing a solution strategy that will lead to a correct answer.

Although there are formulas that need to be applied to solve this question, the most important consideration is devising a successful solution strategy from analyzing the diagram ... **geometric problem solving**. Many students are not confident in analyzing geometric diagrams, so it is important to give your students ample practice in solving problems that require a certain amount of geometric insight leading to the application of appropriate principles and formulas to obtain the correct solution.

__4 questions__ - ‘accessible’ to ‘discriminating’

__4 questions__-

download: 4_Qs_circles_arcs_sectors_1_with_answers

#### Course planning / teaching notes:

** ♦ teaching materials**

EXS_3-1-20v2_SLHL_trig_radian_arc_sector

Exercise set with 10 questions covering radian measure, arc length & sectors (corrected version 2)

EXS_3-1-20_Q10_solution

**worked solution** for question # 10 in trig, radian, arc, sector exercise set above