Shaded region problems
Shaded region problems ask for the area of the part that is marked or coloured inside a figure.
Practice This ConceptMain explanation
Teacher explanation
In these questions, the shaded part may be a difference of shapes, a sector with a triangle removed, or a circle part inside another shape. The key is to find what is shaded and then use addition or subtraction correctly. These questions reward neat diagrams and careful reading.
Example
If a circle lies inside a square and only the outside part is shaded, the shaded area is square area minus circle area.
Simple analogy
Shaded area = big part minus cut-out part.
Common confusion
Students often calculate the larger outer shape and forget to subtract the unshaded inner part.
Exam tip
In shaded-region questions, first identify what is not shaded. That usually tells you what to subtract.
Answer writing and exam use
1-mark use
Write the exact meaning of shaded region problems in one clean line.
2-mark use
Define shaded region problems and add one example or condition.
3-mark use
Explain shaded region problems, 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.
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