Two circles with a common center O are given. The area of the smaller circle is 108 cm2. Segment AB = 4 cm

Two circles with a common center O are given. The area of the smaller circle is 108 cm2. Segment AB = 4 cm The value of the number is π≈3. Determine the area of the larger circle.

By condition, two circles are given, the centers of which are at point O.

Using the formula for calculating the area of a circle, we derive the formula for calculating the radius:

S = π * r².

r = √ (S / π).

Let’s calculate what the radius of the smaller circle is, taking into account that its area is 108 cm² and taking the number π = 3.

r = √ (108/3) = √36 = 6 cm.

Determine the radius of the larger circle:

6 + 4 = 10 cm.

Let’s calculate its area:

S = 3 * 10² = 3 * 100 = 300 cm².

Answer: The area of the larger circle is 300 cm².