What is the approximate circumference of the circle? What is …

Mathematics Questions

What is the approximate circumference of the circle? What is the height of the parallelogram? What would be the approximate length of the parallelogram if the base were completely straight? What would make the estimation of the circle’s area more precise? What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?

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-by-Step Solution

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 ≈ìA ‚Äöaa 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 ≈ìA ‚Äöaa 3.14
  • Calculate: A = 3.14 x 3 x 3 = 28.26 unit¬¨‚â§

Related Concepts

Circumference

The total distance around a circle calculated using the formula c = 2œar, where r is the radius

Base Length

The straight length of the base of a parallelogram derived by dividing the circumference by 2

Area

The space within a shape, for a circle calculated using the formula a = œar¬≤, where r is the radius.

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