Final answer:
To find the area of a circle with a radius of 2.2 centimeters, use the formula A = πr², which results in approximately 15 cm² when rounded to two significant figures.
Step-by-step explanation:
The student has asked to find the area of a circle with a radius of 2.2 centimeters. To calculate the area of a circle, the formula used is A = πr², where A is the area and r is the radius. Since π (pi) is approximately 3.14159, we square the radius and then multiply by pi. For a radius of 2.2 cm, the calculation is A = π(2.2 cm)², which equals π(4.84 cm²). Using the approximate value of π, the area is 3.14159 * 4.84 cm² = 15.20504416 cm². However, because the radius is given with two significant figures, the area should also be reported with two significant figures. Therefore, the area of the circle is approximately 15 cm².