Circle

 

Parts of A Circle

Rendered by QuickLaTeX.com


Area of A Circle

 

Rendered by QuickLaTeX.com

A=π×r2

π=227=3.14

Rendered by QuickLaTeX.com

A=14π×d2

π=227=3.14


Area of A Sector

 

Rendered by QuickLaTeX.com

Area of sector=12×r2×θ

θ in radian

 

Area of sector=θ360×π×r2

θ in degree


Circumference of A Circle

 

Rendered by QuickLaTeX.com

 

circumference of circle=2×π×r

π=227=3.14

r=radius

Rendered by QuickLaTeX.com

 

circumference of circle=π×d

d=diameter

Arc Length

 

Rendered by QuickLaTeX.com

 

If θ is measured in degrees then:

Arc length=θ360×circumference of circle

Arc length=θ360×2×π×r

 

If θ is measured in radians then:

Arc length=θ×r

 

1π radians=180

1 radians ≈  57.3°

Exercise

--- Open this page ---

(Next Lesson) Perimeter and Arc Length