Area of a circle
The area of a circle is the amount of surface covered by the circular region inside its boundary.
Practice This ConceptMain explanation
Teacher explanation
Area tells us how much flat space is enclosed by the circle. It is always written in square units such as cm², m², or mm². The radius is the most important value for finding circle area, because the formula depends directly on r.
Example
If a circle has radius 7 cm, its area is πr² = 49π cm², which is 154 cm² using π = 22/7.
Simple analogy
Radius first, then square; circle area is inside share.
Common confusion
Students sometimes use diameter instead of radius, or forget to square the radius before multiplying by π.
Exam tip
When the question asks for space covered, surface area, or carpet-like covering, use area of a circle.
Answer writing and exam use
1-mark use
Write the exact meaning of area of a circle in one clean line.
2-mark use
Define area of a circle and add one example or condition.
3-mark use
Explain area of a circle, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
Help improve this page
Found something confusing, incorrect, or missing?