The circumference is 31.4 cm. Find the area of a circle whose radius is 1 cm greater than the radius of this circle.

1) Calculate the radius of a circle whose length is 31.4 cm.

It is known that the circumference (L) is determined by the formula:

L = 2n * R, where n is a mathematical constant (the number “pi”), n = 3.14, R is the radius of the circle.

From here, the radius of the circle is calculated by the formula:

R = L: 2p;

R = 31.4: (2 * 3.14);

R = 5 cm.

2) Find out the radius of the second circle:

5 + 1 = 6 cm.

3) Find the area of a circle whose radius is 6 cm.

The area of a circle (S) is calculated by the formula:

S = nR ^ 2.

Then

S = 3.14 * 6 ^ 2;

S = 3.14 * 36;

S = 113.04 cm ^ 2.

Answer: 113.04 cm ^ 2.