Circles
ICSE · Class 6 · Mathematics
Flashcards for Circles — ICSE Class 6 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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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.
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.
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.
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.
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.
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.
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.
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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