Answer and Step-by-step explanation:
To find the area and circumference of a circle with a radius of 22 inches, we can use the following formulas:
1. Area of a circle: The formula for the area of a circle is A = πr², where A represents the area and r represents the radius of the circle.
Plugging in the given radius of 22 inches into the formula, we get:
A = π(22)²
Calculating the area:
A = π(484)
A ≈ 1519.46 square inches
Therefore, the area of the circle is approximately 1519.46 square inches.
2. Circumference of a circle: The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius of the circle.
Plugging in the given radius of 22 inches into the formula, we get:
C = 2π(22)
Calculating the circumference:
C = 2π(22)
C ≈ 138.23 inches
Therefore, the circumference of the circle is approximately 138.23 inches.