Circles: Class 10 Mathematics (ICSE) important questions and practice
Circles is chapter 16 of 22 in ICSE Class 10 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Tangent to a circle and point of contact
- Theorem: tangent is perpendicular to the radius at the point of contact
- Theorem: lengths of tangents from an external point are equal
- Number of tangents from a point inside, on and outside the circle
- Problems on quadrilaterals circumscribing a circle
What examiners usually ask
- Prove that the lengths of tangents drawn from an external point to a circle are equal
- Prove that the parallelogram circumscribing a circle is a rhombus
- From a point Q, the length of the tangent is 24 cm and the distance of Q from the centre is 25 cm; find the radius
Exam tip
Both theorems are asked as proofs with a figure almost every year; draw the figure first and mark the right angle at the point of contact, which is the step that unlocks most numericals.
Circles on other boards and exams
Frequently asked questions
What are the important questions from Circles for ICSE Class 10?
The question types listed above repeat most often in ICSE Class 10 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Circles in the ICSE Class 10 Mathematics syllabus?
Yes. Circles is part of the current ICSE Class 10 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Circles MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.