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GCSEMathsAQAHigherFlashcards4. Geometry & MeasuresCircles, Arcs & Sectors

Circles, Arcs & Sectors (AQA GCSE 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 Operations

    2. Topic 2

      Prime Factors, HCF & LCM

    3. Topic 3

      Powers, Roots & Standard Form

    4. Topic 4

      Fractions

    5. Topic 5

      Percentages

    6. Topic 6

      Simple & Compound Interest, Growth & Decay

    7. Topic 7

      Fractions, Decimals & Percentages

    8. Topic 8

      Rounding, Estimation & Bounds

    9. Topic 9

      Surds

    10. Topic 10

      Using a Calculator

    1. Topic 1

      Introduction to Algebra

    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

      Linear Equations

    10. Topic 10

      Quadratic Equations

    11. Topic 11

      Simultaneous Equations

    12. Topic 12

      Iteration

    13. Topic 13

      Forming & Solving Equations

    14. Topic 14

      Functions

    15. Topic 15

      Coordinate Geometry

    16. Topic 16

      Linear Graphs

    17. Topic 17

      Graphs of Functions

    18. Topic 18

      Equation of a Circle

    19. Topic 19

      Estimating Gradients & Areas under Graphs

    20. Topic 20

      Real-Life Graphs

    21. Topic 21

      Solving Inequalities

    22. Topic 22

      Graphing Inequalities

    23. Topic 23

      Transformations of Graphs

    24. Topic 24

      Sequences

    1. Topic 1

      Ratios

    2. Topic 2

      Problem Solving with Ratios

    3. Topic 3

      Direct & Inverse Proportion

    4. Topic 4

      Standard & Compound Units

    5. Topic 5

      Exchange Rates & Best Buys

    1. Topic 1

      Symmetry & Shapes

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Scale Drawing, Constructions & Loci

    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

      Pythagoras & Trigonometry

    11. Topic 11

      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    13. Topic 13

      Vectors

    14. Topic 14

      Transformations

    1. Topic 1

      Introduction to Probability

    2. Topic 2

      Simple Probability Diagrams

    3. Topic 3

      Tree Diagrams

    4. Topic 4

      Combined & Conditional Probability

    1. Topic 1

      Averages, Ranges & Data

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency & Box Plots

    5. Topic 5

      Scatter Graphs & Correlation