Questions and Answers
The distance around a circle is called its?
The distance across a circle through its center is called?
Diameter
The __________ of a circle is the distance from the center of a circle to any point on the circle.
radius
If the radius of a circle is 2 inches, what is the diameter?
Signup and view all the answers
If the diameter of a circle is 3 centimeters, what is the circumference?
Signup and view all the answers
If the radius of a circle is 2 inches, what is the circumference?
Signup and view all the answers
What is the diameter if the radius of a circle is 15.3 centimeters?
Signup and view all the answers
Find the circumference of a circle with a diameter of 7.5 inches.
Signup and view all the answers
A _________________ is a part of a line that is bounded by two endpoints.
Signup and view all the answers
If the diameter of a circle is 8 centimeters, what is the area?
Signup and view all the answers
If the radius of a circle is 3 inches, what is the area?
Signup and view all the answers
If the radius of a circle is 9 centimeters, what is the area?
Signup and view all the answers
If the diameter of a circle is 12 inches, what is the area?
Signup and view all the answers
If the radius of a circular rug is 4 feet, what is the area?
Signup and view all the answers
If the diameter of a bicycle wheel is 20 inches, what is the area of the wheel?
Signup and view all the answers
What is the formula for the area of a circle?
Signup and view all the answers
What is the area of a circle with a radius of 3 m?
Signup and view all the answers
What is a line that links two points on a circle?
Signup and view all the answers
What is the diameter of a circle with a radius of 7 inches?
Signup and view all the answers
What is the area of a circle if its diameter is 10 centimeters?
Signup and view all the answers
Study Notes
Circle Measurements and Definitions
- Circumference is the distance around a circle.
- Diameter is the distance across a circle through its center.
- Radius is the distance from the center of a circle to any point on the circle.
Relationship Between Diameter and Radius
- Diameter is twice the radius (d = 2r).
- For a radius of 2 inches, the diameter is 4 inches.
- For a radius of 15.3 centimeters, the diameter is 30.6 centimeters.
Calculating Circumference
- Circumference can be calculated using the formula: C = πd or C = 2πr.
- For a diameter of 3 centimeters, the circumference is approximately 9.42 cm.
- For a radius of 2 inches, the circumference is approximately 12.56 inches.
- For a circle with a diameter of 7.5 inches, the circumference is approximately 23.55 inches.
Calculating Area
- Area of a circle is calculated using the formula: A = πr².
- An 8-centimeter diameter circle has an area of approximately 50.24 cm².
- A circle with a radius of 3 inches has an area of approximately 28.26 in².
- For a radius of 9 centimeters, the area is approximately 254.34 cm².
- A circular rug with a radius of 4 feet has an area of approximately 50.24 feet².
- A bicycle wheel with a diameter of 20 inches has an area of approximately 314 in².
Specific Area Calculations
- For a diameter of 10 centimeters, the area is approximately 78.5 cm².
- The area calculations demonstrate that the area increases with both radius and diameter measurements.
Additional Geometry Terms
- A line segment is a part of a line bounded by two endpoints.
- A chord is a line that links two points on the circumference of the circle.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on circle measurements, including circumference, diameter, radius, and area calculations. This quiz will cover essential formulas and relationships between these properties. Perfect for students looking to reinforce their understanding of geometry.
