Circle Algebra: Area and Circumference

Algebraic Relationships:

C = 2πr

Circumference equation

A = πr²

Area equation

Current Values:

Radius (r):1.00 units

Circumference (C):6.28 units

Area (A):3.14 sq units

C = 6.3 units
r = 1.0

Algebraic Relationships

  • Area from Circumference:

    If C = 2πr, then r = C/(2π)
    Substituting into A = πr²:
    A = π(C/(2π))² = C²/(4π)

  • Circumference from Area:

    If A = πr², then r = √(A/π)
    Substituting into C = 2πr:
    C = 2π√(A/π) = 2√(πA)

  • Practical Application:

    These relationships allow us to find any circle measurement if we know just one value. Try changing the radius and watch how both area and circumference change in relation!