Circumference of a Circle:
The circumference of a circle is the distance around its outer edge or boundary. It is calculated by multiplying the diameter of the circle by pi (π), which is approximately 3.14159. The formula for the circumference of a circle is:

C = 2πr

Where C is the circumference and r is the radius of the circle.

Given Information:
In this case, the circumference of the circle is given as 22 cm.

Calculating the Radius:
To find the radius, we can rearrange the formula for circumference:

C = 2πr
22 = 2πr

Dividing both sides of the equation by 2π, we get:

r = 22 / (2π)
r ≈ 3.5 cm

Calculating the Area of a Quadrant:
A quadrant is a quarter of a circle. To find the area of a quadrant, we need to find the area of the entire circle and then divide it by 4.

The formula for the area of a circle is:

A = πr²

Substituting the value of the radius (3.5 cm) into the formula, we get:

A = π(3.5)²
A = 3.14159 * (3.5)²
A ≈ 38.484 cm²

To find the area of a quadrant, we divide the area of the entire circle by 4:

Area of Quadrant = (Area of Circle) / 4
Area of Quadrant ≈ 38.484 / 4
Area of Quadrant ≈ 9.621 cm²

Summary:
The circumference of the circle is 22 cm. By using the circumference, we calculated the radius to be approximately 3.5 cm. Then, using the formula for the area of a circle, we found the area of the entire circle to be approximately 38.484 cm². Finally, we divided the area of the circle by 4 to find the area of the quadrant, which is approximately 9.621 cm².