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Circles — Flashcards

ICSE · Class 6 · Mathematics

30 flashcards for Circles (ICSE Class 6 Mathematics) to test yourself on key terms and facts. Sample: "If the radius of a circle is 6 cm, what is"

139 questions30 flashcards2 formulas & key relations4 concepts

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30 Flashcards·
Diameter and RadiusChord and DiameterInterior and Exterior of a CircleRadiusKey Formulas
Card 1Diameter and Radius

If the radius of a circle is 6 cm, what is its diameter?

Answer

Step 1: Use the formula — Diameter = 2 × Radius. Step 2: Substitute the value — Diameter = 2 × 6 = 12 cm. Answer: 12 cm.

Card 2Diameter and Radius

The diameter of a circle is 14 cm. Find its radius.

Answer

Step 1: Use the formula — Radius = Diameter ÷ 2. Step 2: Substitute the value — Radius = 14 ÷ 2 = 7 cm. Answer: 7 cm.

Card 3Chord and Diameter

A circle has a radius of 5 cm. What is the length of its longest chord?

Answer

Step 1: The longest chord of a circle is its diameter. Step 2: Diameter = 2 × Radius = 2 × 5 = 10 cm. Answer: 10 cm.

Card 4Interior and Exterior of a Circle

Draw a circle with center O. Mark points A, B, and C such that OA = 4 cm, OB = 4 cm, and OC = 6 cm. Which point lies outside the circle?

Answer

Step 1: The radius is 4 cm (since OA and OB are equal to radius). Step 2: OC = 6 cm > 4 cm, so point C lies outside the circle. Answer: Point C lies outside.

Card 5Radius

If a circle's diameter is 10 cm, what is the length from the center to any point on the circumference?

Answer

Step 1: The distance from the center to any point on the circumference is the radius. Step 2: Radius = Diameter ÷ 2 = 10 ÷ 2 = 5 cm. Answer: 5 cm.

Card 6Interior and Exterior of a Circle

A circle has a radius of 8 cm. A point P is 7 cm away from the center. Where does point P lie?

Answer

Step 1: Compare the distance with the radius. Step 2: 7 cm < 8 cm, so point P lies inside the circle. Answer: Inside the circle.

Card 7Diameter and Radius

A line segment AB joins two points on a circle and passes through the center. If AB = 12 cm, what is the radius?

Answer

Step 1: Since AB passes through the center, it is a diameter. Step 2: Radius = Diameter ÷ 2 = 12 ÷ 2 = 6 cm. Answer: 6 cm.

Card 8Key Formulas

What is the formula for the diameter of a circle in terms of radius?

Answer

Formula: Diameter = 2 × Radius. Example: If radius = 9 cm, then Diameter = 2 × 9 = 18 cm.

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Frequently Asked Questions

What are the important topics in Circles for ICSE Class 6 Mathematics?
Key topics in Circles include Basic Elements of a Circle, Chords, Secants, and Tangents, Arcs, Sectors, and Segments, Interior and Exterior of a Circle. Study these first, then practise questions on each for Class 6 exams.
How many flashcards are available for Circles?
There are 30 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 6 exams?
Learn the core ideas first, then work through the 139 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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