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IGCSEMathsCambridge (CIE)ExtendedFlashcardsLengths, Areas & VolumesCircles, Arcs & Sectors

Circles, Arcs & Sectors (Cambridge (CIE) IGCSE Maths)

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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 Toolkit

    6. Topic 6

      Percentages Toolkit

    7. Topic 7

      Simple & Compound Interest, Growth & Decay

    8. Topic 8

      Surds

    9. Topic 9

      Working with FDP

    10. Topic 10

      Working with Ratios

    11. Topic 11

      Compound Measures (Speed, Density, Pressure)

    12. Topic 12

      Time, Currency & Conversions

    13. Topic 13

      Rounding, Estimation & Bounds

    14. Topic 14

      Using a Calculator

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding & Factorising Brackets

    4. Topic 4

      Linear Equations & Inequalities

    5. Topic 5

      Quadratic Equations

    6. Topic 6

      Rearranging Formulas

    7. Topic 7

      Simultaneous Equations

    8. Topic 8

      Algebraic Fractions

    9. Topic 9

      Forming & Solving Equations

    10. Topic 10

      Functions

    11. Topic 11

      Sequences

    12. Topic 12

      Proportion

    1. Topic 1

      Coordinate Geometry

    2. Topic 2

      Linear Graphs

    3. Topic 3

      Quadratic Graphs

    4. Topic 4

      Further Graphs & Tangents

    5. Topic 5

      Solving & Graphing Inequalities

    6. Topic 6

      Real-Life Graphs

    7. Topic 7

      Differentiation

    1. Topic 1

      Geometry Toolkit

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Constructions & Scale Drawings

    4. Topic 4

      Circle Theorems

    1. Topic 1

      Area & Perimeter

    2. Topic 2

      Circles, Arcs & Sectors

    3. Topic 3

      Volume & Surface Area

    4. Topic 4

      Congruence & Similarity

    1. Topic 1

      Right-Angled Triangles (Pythagoras & Trigonometry)

    2. Topic 2

      Sine, Cosine Rule & Area of Triangles

    3. Topic 3

      3D Pythagoras & Trigonometry

    4. Topic 4

      Trigonometric Graphs & Equations

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Basic Probability

    2. Topic 2

      Probability Diagrams (Tree & Venn Diagrams)

    3. Topic 3

      Conditional Probability

    1. Topic 1

      Averages & Range

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency

    5. Topic 5

      Scatter Graphs & Correlation