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Chapter 21 of 25
Flashcards

Circles — Flashcards

ICSE · Class 8 · Mathematics

28 flashcards for Circles (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "A point moves so that it is always 8 cm from"

61 questions28 flashcards6 formulas & key relations5 concepts

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28 Flashcards·
Circle, radius, diameterRadius from diameterDiameter from radiusChord and diameterLongest chordInterior and exterior points
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?
Key topics in Circles include Basic Parts of a Circle, Position of Points: Interior, On the Circle, and Exterior, Arcs, Semicircle, Major Arc, and Minor Arc, Sector and Segment. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Circles?
There are 28 flashcards for Circles covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Circles for Class 8 exams?
Learn the core ideas first, then work through the 61 practice questions on Circles. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

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