Final answer:
The area of the circle is approximately 113.1 square cm and the circumference is approximately 37.7 cm.
Step-by-step explanation:
Calculating the Area and Circumference of a Circle
To calculate the area of a circle, we use the formula A = πr², where r is the radius of the circle. Since the diameter is given, we first need to find the radius by dividing the diameter by 2. In this case, the radius is 6 cm. Plugging this value into the formula, we find that the area of the circle is approximately 113.1 square cm.
To calculate the circumference of a circle, we use the formula C = 2πr, where r is the radius of the circle. Plugging in the value of the radius (6 cm) into the formula, we find that the circumference of the circle is approximately 37.7 cm.
Note: π (pi) is a mathematical constant with an approximate value of 3.14159.Learn more about Calculating the area and circumference of a circle