# Circumference 31.4 cm. Find the area of a circle whose radius is 1 cm larger than the radius of this circle.

1. Formula for calculating the circumference in terms of the radius:

С = 2 * pi * r, where pi = 3.14., We express from this formula the radius r = С / (2 * pi).

2. Find the radius of the given circle by substituting the known values into the formula.

31.4 / (2 * 3.14) = 5 (cm) the radius of the given circle.

3. Find the radius of the circle which is 1 cm larger than the radius of this circle.

5 + 1 = 6 (cm) radius of the circle.

4. Find the area of a circle whose radius is 1 cm larger than the radius of this circle.

The area of a circle is calculated by the formula S = pi * R ^ 2, where pi = 3.14., We substitute the values of the radius in the formula.

3.14 * 6 ^ 2 = 113.04 (cm2) the area of a circle whose radius is 1 cm larger than the radius of this circle.

Answer: 113.04 cm2.