Two circles have a common center, and their lengths are 157 and 94.2, respectively.

Two circles have a common center, and their lengths are 157 and 94.2, respectively. Find the area of the ring enclosed between these circles.

Step one.

Let’s define what will be the radius of the circle, whose length is equal to 157 according to the specification:

157: (3.14 * 2) = 25.

Step two.

Let us determine what the radius of the circle will be, whose length, according to the specification, is equal to 94.2:

94.2: (3.14 * 2) = 15.

Step three.

Let’s determine what the area of a circle with a large radius will equal:

3.14 * 25 ^ 2 = 1962.5.

Step four.

Let’s determine what the area of a circle with a smaller radius will equal:

3.14 * 15 ^ 2 = 706.5.

Step five.

Find out the area of the ring:

1962.5 – 706.5 = 1256.

Answer: 1256.