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Calculate the Area and Perimeter of a Quatrefoil

This calculator will work for a quatrefoil shape where the diameter of the inscribed circles are equal to the radius of the circumscribed circle.

Quatrefoil

Circumscribed Circle Formula

Radius
R = D ÷ 2
where R = radius, D = diameter

Area
A = π * D² ÷ 4
where A = area, π = 3.14159..., D = diameter

Circumference
C = 2 * π * D ÷ 2
where C = circumference, π = 3.14159...., D = diameter

Quatrefoil Formula

Area
A =(s * s) + 2 (π * r² ÷ 4)
where a = area, s = D/2, r = D/2

Perimeter
P = (2 * π * D ÷ 2) * 2

Quartrefoil

Select unit:
Diameter of circle {{selectedunit.m1}}
decimal rounding # of digits in results

Results:

Radius {{selectedunit.m1}}
Area of circle {{selectedunit.m1}}²
Circumference of circle {{selectedunit.m1}}
Area of quartrefoil {{selectedunit.m1}}²
Perimeter of quartrefoil {{selectedunit.m1}}

Calculation

  1. enter the diameter of the circumscribed circle
  2. number of decimal places required in results

Results

  1. area of circumscribed circle
  2. circumference
  3. area of quatrefoil
  4. perimeter of quartrefoil


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