The formula for determining the area of a circle is expressed as
Area = pi x radius^2
We were told that each small circle has a radius of 5 cm.
pi = 3.14(this is a constant value)
Thus,
Area of each small circle = 3.14 x 5^2 = 78.5 cm^2
Looking at the big circle, the distance between two opposite ends is equal to 3 circles. This distance is also known as the diameter of the big circle. The diameter of the big circle would be the sum of the diameters of the smaller circles.
Diameter = radius x 2
Diameter of each small circle = 5 x 2 = 10
Since there are 3 small circles,
diameter of larger circle = 3 * 10 = 30 cm
Radius of larger circle = 30/2 = 15 cm
Area of larger circle = 3.14 x 15^2 = 706.5 cm^2
The region between two small circles is shaded.