Use the circumference formula: (C = 2pi r)
Solve for the radius: (r = frac{C}{2pi})
Use the area formula: (A = pi r^2)
Substitute the radius into the area formula: (A = pileft(frac{C}{2pi}right)^2)
Simplify the result: (A = frac{C^2}{4pi})
Use the circumference formula: (C = 2pi r)
Solve for the radius: (r = frac{C}{2pi})
Use the area formula: (A = pi r^2)
Substitute the radius into the area formula: (A = pileft(frac{C}{2pi}right)^2)
Simplify the result: (A = frac{C^2}{4pi})