CIRCLE
Definition Of Circle
A Circle is the locus of all points that are at an equal distance from a given point (on the plane) called the center.
More About Circle
The distance around a circle is called as its circumference.
Video Examples: Intro to Circles
Example of Circle
In the figure shown, O is the center of the circle.
All points on the black ring, such as A, B, C, and D, are equidistant from O, the center. The length of the black ring is the circumference of the circle.
Solved Example onCircle
Ques: A circle has a radius of 6 feet. Find its circumference.
Choices:
A. 37.7 feet
B. 12 feet
C. 6 feet
D. 2 feet
Correct Answer: A
Solution:
Step 1: Circumference of the circle with radius 6 feet is 2 × π × 6 = 37.7 feet.
Quick Summary
- A circle is defined by its center and radius.
- The circumference is the distance around the circle.
🍎 Teacher Insights
Use real-world examples like pizza or wheels to illustrate circles. Emphasize the relationship between radius, diameter, and circumference. Hands-on activities like drawing circles with compasses are useful.🎓 Prerequisites
- Point
- Line
- Distance
- Radius
Check Your Knowledge
Q1: A circle has a radius of 6 feet. Find its circumference.
Frequently Asked Questions
Q: What is the difference between radius and diameter?
A: The radius is the distance from the center to any point on the circle, while the diameter is the distance across the circle through the center. The diameter is twice the radius.
Q: How do you calculate the circumference of a circle?
A: The circumference (C) of a circle is calculated using the formula C = 2πr, where r is the radius of the circle and π (pi) is approximately 3.14159.