Short Answer
The circumference of a circle is calculated as C = 2œAr, giving 18.8 units for a radius of 3. For a parallelogram, the base length is estimated at 9.4 units, and the area of the circle is approximately 28.26 unit¬≤.
Step 1: Understanding Circumference of a Circle
The *circumference* of a circle refers to the total distance around the circle. It is calculated using the formula C = 2œAr, where r is the radius. In this case, if the radius is 3 units, the computation becomes:
- Use œA ‚aa 3.14
- Calculate: C = 2 x 3.14 x 3 = 18.8 units
Step 2: Analyzing the Parallelogram Measurements
The height of the parallelogram is given as 3 units. To determine the approximate straight length of the parallelogram’s base, we can use the circumference. Dividing the circumference by 2 provides an estimate of the base length:
- Base length = Circumference / 2
- Calculate: 9.4 units = 18.8 / 2
Step 3: Calculating the Area of the Circle
The area of a circle can be calculated using the formula A = œAr¬≤. For a radius of 3 units, the area computation would be as follows:
- Use œA ‚aa 3.14
- Calculate: A = 3.14 x 3 x 3 = 28.26 unit²