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Circles

ICSE · Class 8 · Mathematics

Flashcards for Circles — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

61 questions28 flashcards5 concepts

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28 Flashcards
Card 1Circle, radius, diameter

A point moves so that it is always 8 cm from a fixed point. What figure is formed, and what is its radius and diameter?

Answer

Step 1: A point moving at a constant distance from a fixed point forms a circle. Step 2: The constant distance is the radius = 8 cm. Step 3: Diameter = 2 × radius = 2 × 8 cm = 16 cm. Answer: Circle, r…

Card 2Radius from diameter

A circle has diameter 24 cm. Find its radius.

Answer

Step 1: Use Radius = Diameter/2. Step 2: Radius = 24/2 = 12 cm. Answer: 12 cm.

Card 3Diameter from radius

A circle has radius 7 cm. Find its diameter.

Answer

Step 1: Use Diameter = 2 × Radius. Step 2: Diameter = 2 × 7 cm = 14 cm. Answer: 14 cm.

Card 4Chord and diameter

Why is every diameter a chord, but every chord is not a diameter?

Answer

A chord joins any two points on the circumference. A diameter is a chord that passes through the centre. So every diameter is a chord, but only the chord through the centre is a diameter. Example: A c…

Card 5Longest chord

A circle has diameter 16 cm. Can a chord of length 20 cm exist in this circle?

Answer

Step 1: The diameter is the longest chord of a circle. Step 2: The longest possible chord is 16 cm. Step 3: A chord of 20 cm is longer than the diameter. Answer: No, it cannot exist.

Card 6Interior and exterior points

A circle has diameter 30 cm. A point P is 20 cm from the centre. Where does P lie?

Answer

Step 1: Radius = Diameter/2 = 30/2 = 15 cm. Step 2: Compare OP with radius. Step 3: OP = 20 cm, which is greater than 15 cm. Answer: P lies in the exterior of the circle.

Card 7Interior and exterior points

A circle has diameter 24 cm. A point Q is 12 cm from the centre. Where does Q lie?

Answer

Step 1: Radius = 24/2 = 12 cm. Step 2: Compare OQ with radius. Step 3: OQ = 12 cm, which is equal to the radius. Answer: Q lies on the circumference.

Card 8Interior and exterior points

A circle has radius 12 cm. A point R is 9 cm from the centre. Where does R lie?

Answer

Step 1: Compare OR with the radius. Step 2: OR = 9 cm and radius = 12 cm. Step 3: 9 cm is less than 12 cm. Answer: R lies in the interior of the circle.

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Frequently Asked Questions

What are the important topics in Circles for ICSE Class 8 Mathematics?
Circles covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Circles — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 61 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Circles?
There are 28 flashcards for Circles covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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