The area of the great circle is 16п cm2. At what distance from the center of the ball

The area of the great circle is 16п cm2. At what distance from the center of the ball is the section, the area of which is 3/4 of the area of the great circle?

To solve this problem, you first need to determine the radius of the circle.

Let us express it from the area of the side section of the circle.

п * R ^ 2 = 16 * п.

R ^ 2 = 16.

R = 4 cm.

We find the area of the god section.

To do this, we multiply the known part by the area of the great circle.

In this case, we get:

3/4 * 16 * п = 3 * 4 * п = 12 * п (cm ^ 2).

The distance of the section from the center will be equal to the diameter.

We express its value from the difference between the large and small radius.

d ^ 2 = 16 – 12 = 4.

d = 2 cm.

Answer:

The section is located at a distance of 2 cm from the center.