4.4.6

Fractions of Circles

Test yourself

Fractions of Circles

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Arc length

  • An arc length is a fraction of the circumference of the circle:
    • Arc length = angle360 × circumference of circle
    • Arc length = angle360 × 2πr
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Area of a sector

  • The area of a sector is a fraction of the area of the circle:
    • Area of sector = angle360 × πr2
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Area of a segment

  • To find the area of a segment, find the area of the full sector and subtract the area of the triangle using the formula:
    • Area of triangle = 12 × ab × sin(C)
  • Therefore:
    • Area of segment = (angle360 × πr2) - (12 × ab × sin(C))

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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