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, .
Step 1: Calculate the Diameter
The formula for the diameter of a circle is: Substituting :
Step 2: Calculate the Circumference
The formula for the circumference of a circle is: Using and : Rounding to the hundredths place:
Final Table:
Radius (cm) | Diameter (cm) | Circumference (cm) |
---|---|---|
4.7 | 9.4 | 29.53 |
Would you like to go into further detail or explore related concepts? 😊
Five Related Questions:
- What is the formula for calculating the area of a circle using the radius?
- How does the circumference change if the radius is doubled?
- Can you derive the formula for the circumference of a circle?
- How can you approximate using real-world measurements of a circle?
- 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."
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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