Math Problem Statement

The radius of the circle is 4.7 cm, and point A is the center. Find the length of the diameter and the approximate circumference of the circle. You can use your Zearn calculator to help you solve. 4.7 cmA You may consider writing the circumference to the hundredths place.

Radius (cm) Diameter (cm) Circumference (cm) 4.7

Solution

We can compute the diameter and the circumference of the circle using the given radius, r=4.7cmr = 4.7 \, \text{cm}.

Step 1: Calculate the Diameter

The formula for the diameter dd of a circle is: d=2rd = 2r Substituting r=4.7cmr = 4.7 \, \text{cm}: d=2×4.7=9.4cmd = 2 \times 4.7 = 9.4 \, \text{cm}

Step 2: Calculate the Circumference

The formula for the circumference CC of a circle is: C=2πrC = 2\pi r Using π3.14159\pi \approx 3.14159 and r=4.7r = 4.7: C=2×3.14159×4.729.5309cmC = 2 \times 3.14159 \times 4.7 \approx 29.5309 \, \text{cm} Rounding to the hundredths place: C29.53cmC \approx 29.53 \, \text{cm}

Final Table:

Radius (cm)Diameter (cm)Circumference (cm)
4.79.429.53

Would you like to go into further detail or explore related concepts? 😊


Five Related Questions:

  1. What is the formula for calculating the area of a circle using the radius?
  2. How does the circumference change if the radius is doubled?
  3. Can you derive the formula for the circumference of a circle?
  4. How can you approximate π\pi using real-world measurements of a circle?
  5. What happens to the circumference if the diameter is increased by 50%?

Tip:

To remember the formulas for circles, think "D for Diameter means Double the Radius," and "Circumference starts with C, so Circle Around = 2πr."

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Measurement

Formulas

Diameter = 2 × Radius
Circumference = 2 × π × Radius

Theorems

Definition of a Circle

Suitable Grade Level

Grades 5-7