Math Problem Statement

Find the circumference and area of the adjacent circle. Use the pi key for pi. 7.3 m

Solution

To find the circumference and area of a circle given its radius, we use the following formulas:

  1. Circumference C=2πrC = 2 \pi r
  2. Area A=πr2A = \pi r^2

Given:

  • Radius r=7.3mr = 7.3 \, \text{m}

Step-by-Step Solution

  1. Calculate the Circumference: C=2π×7.3=14.6π45.864mC = 2 \pi \times 7.3 = 14.6 \pi \approx 45.864 \, \text{m}

  2. Calculate the Area: A=π×(7.3)2=π×53.29167.0421m2A = \pi \times (7.3)^2 = \pi \times 53.29 \approx 167.0421 \, \text{m}^2

Final Answers

  • Circumference: 14.6π45.864m14.6 \pi \approx 45.864 \, \text{m}
  • Area: 53.29π167.0421m253.29 \pi \approx 167.0421 \, \text{m}^2

Would you like further details or have any questions?


Here are some related questions to explore:

  1. What would the circumference be if the radius was doubled?
  2. How does the area change if the radius is halved?
  3. Can you express both the circumference and area in terms of diameter?
  4. How would you find the radius if only the circumference was given?
  5. What would the circumference and area be if the radius was given in centimeters instead?

Tip: Remember, the area of a circle grows with the square of the radius, while the circumference grows linearly with it.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Circumference C = 2πr
Area A = πr^2

Theorems

-

Suitable Grade Level

Grades 6-8