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IGCSEMathsEdexcelMaths AHigherFlashcardsGeometry & TrigonometryCircles, Arcs & Sectors

Circles, Arcs & Sectors (Edexcel IGCSE Maths A)

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  • What is the formula for the circumference of a circle?

    There are two formulas for the circumference of a circle, C equals 2 pi r equals pi d

    Where:

    • C equalscircumference

    • r equalsradius

    • d equalsdiameter

  • Define the term radius of a circle.

    A radius of a circle is the distance from the centre of a circle to its circumference.

  • True or False?

    Pi (pi) is the ratio between a circle's diameter and its circumference.

    True.

    Pi (pi) is the ratio between a circle's diameter and its circumference.

  • What is the relationship between the diameter of a circle and the radius?

    The diameter of a circle is twice the length of the radius (d equals 2 r).

  • True or False?

    Every point on the circumference of a circle is equidistant from its centre.

    True.

    Every point on the circumference of a circle is equidistant from its centre.

  • What is an arc?

    An arc is a part of the circumference of a circle.

    A circle with an arc highlighted.

  • What is the minor arc ?

    The minor arc is the smaller of the two arcs created by two points on the circumference of a circle.

  • What is the formula for the length of an arc?

    The formula for the length of an arc is l equals theta over 360 cross times 2 pi r

    Where:

    • l equalslength of the arc

    • theta equalsangle of the sector

    • r equalsradius

  • What is a sector?

    A sector is the part of a circle enclosed by two radii and an arc.

    A sector bound by two radii and an arc.

  • What is the major sector?

    The major sector is the larger of the two sectors created by two radii in a circle.

  • What is the formula for the area of a sector?

    The formula for the area of a sector is A equals theta over 360 cross times pi r squared

    Where:

    • A equalsarea

    • theta equalsthe angle of the sector

    • r equalsradius

  • True or False?

    The area of a sector is a fraction of the area of the whole circle.

    True.

    The area of a sector is a fraction of the area of the whole circle.

  • In the equation A equals theta over 360 cross times pi r squared, what does theta represent?

    In the equation A equals theta over 360 cross times pi r squared, the quantity theta represents the angle of the sector.

Previous:Area & PerimeterNext:Volume & Surface Area

    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions

    6. Topic 6

      Percentages

    7. Topic 7

      Compound Interest & Depreciation

    8. Topic 8

      Fractions, Decimals & Percentages

    9. Topic 9

      Rounding, Estimation & Bounds

    10. Topic 10

      Surds

    11. Topic 11

      Using a Calculator

    12. Topic 12

      Ratio Toolkit

    13. Topic 13

      Ratio Problem Solving

    14. Topic 14

      Exchange Rates & Best Buys

    15. Topic 15

      Direct & Inverse Proportion

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding Brackets

    4. Topic 4

      Factorising

    5. Topic 5

      Completing the Square

    6. Topic 6

      Algebraic Fractions

    7. Topic 7

      Rearranging Formulas

    8. Topic 8

      Algebraic Proof

    9. Topic 9

      Solving Linear Equations

    10. Topic 10

      Solving Quadratic Equations

    11. Topic 11

      Solving Inequalities

    12. Topic 12

      Simultaneous Equations

    13. Topic 13

      Forming & Solving Equations

    1. Topic 1

      Sequences

    2. Topic 2

      Functions

    3. Topic 3

      Coordinate Geometry

    4. Topic 4

      Linear Graphs y = mx + c

    5. Topic 5

      Graphs of Functions

    6. Topic 6

      Estimating Gradients

    7. Topic 7

      Real-Life Graphs

    8. Topic 8

      Graphing Inequalities

    9. Topic 9

      Transformations of Graphs

    10. Topic 10

      Differentiation

    1. Topic 1

      Standard & Compound Units

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Scale Drawing & Constructions

    4. Topic 4

      Circle Theorems

    5. Topic 5

      Area & Perimeter

    6. Topic 6

      Circles, Arcs & Sectors

    7. Topic 7

      Volume & Surface Area

    8. Topic 8

      Congruence, Similarity & Geometrical Proof

    9. Topic 9

      Area & Volume of Similar Shapes

    10. Topic 10

      Right-Angled Triangles - Pythagoras & Trigonometry

    11. Topic 11

      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Statistics Toolkit

    2. Topic 2

      Histograms

    3. Topic 3

      Cumulative Frequency Diagrams

    4. Topic 4

      Probability Toolkit

    5. Topic 5

      Probability Diagrams - Venn & Tree Diagrams

    6. Topic 6

      Combined & Conditional Probability