Math Problem Statement

Find the circumference and area of the adjacent circle. Use the pi key for pi. 6.6 m Question content area bottom Part 1 The circumference of the circle is approximately

enter your response here ▼ m squared . m. ​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

Solution

To find the circumference and area of the circle, we use the radius r=6.6r = 6.6 meters.

Circumference

The formula for the circumference CC of a circle is: C=2πrC = 2 \pi r

Substitute r=6.6r = 6.6 meters: C=2π×6.641.5 metersC = 2 \pi \times 6.6 \approx 41.5 \text{ meters}

So, the circumference of the circle is approximately 41.5 meters.

Area

The formula for the area AA of a circle is: A=πr2A = \pi r^2

Substitute r=6.6r = 6.6 meters: A=π×(6.6)2136.9 square metersA = \pi \times (6.6)^2 \approx 136.9 \text{ square meters}

So, the area of the circle is approximately 136.9 square meters.

Would you like more details on the calculations, or do you have any questions?

Here are some related questions to deepen your understanding:

  1. What is the diameter of this circle, and how does it relate to the radius?
  2. How would the circumference and area change if the radius were doubled?
  3. How would you convert the area from square meters to square centimeters?
  4. Why does the area grow faster than the circumference as the radius increases?
  5. What are real-world applications of calculating the circumference and area of circles?

Tip: Remember, when rounding, ensure consistency in decimal places throughout your solution!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties
Circumference and Area calculations

Formulas

Circumference of a circle: C = 2πr
Area of a circle: A = πr^2

Theorems

Properties of circles related to circumference and area

Suitable Grade Level

Grades 6-8