Circle Concepts Quiz for Class 9 CBSE Students
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Questions and Answers

What is the formula to calculate the circumference of a circle?

  • 2 * Ï€ * r^2
  • Ï€ * r^2
  • 2 * Ï€ * r (correct)
  • 2 * r

What is the relationship between the diameter and the radius of a circle?

  • The diameter is three times the length of the radius
  • The diameter is twice the length of the radius (correct)
  • The diameter and radius are equal
  • The diameter is half the length of the radius

What is the area of a circle if the radius is 5 units?

  • 25 square units
  • 10Ï€ square units
  • 20 square units
  • 25Ï€ square units (correct)

What is the sum of the interior angles of a circle?

<p>360 degrees (A)</p> Signup and view all the answers

What is the relationship between the circumference and diameter of a circle?

<p>The circumference is pi times the diameter (A)</p> Signup and view all the answers

What is the measure of the central angle that subtends an arc equal in length to the radius of the circle?

<p>90 degrees (B)</p> Signup and view all the answers

Flashcards

Circumference formula

2 * π * radius

Diameter vs. Radius

Diameter = 2 * Radius

Circle Area (radius 5)

25Ï€ square units

Interior angle sum (circle)

360 degrees

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Circumference & Diameter

Circumference = π * Diameter

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Arc length related central angle

90 degrees

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Study Notes

Circle Properties

  • The circumference of a circle can be calculated using the formula: Circumference = 2 × Ï€ × radius
  • The diameter of a circle is twice the length of the radius (Diameter = 2 × radius)
  • The radius of a circle is half the length of the diameter (Radius = Diameter ÷ 2)

Circle Area

  • The area of a circle can be calculated using the formula: Area = Ï€ × radius²
  • If the radius of a circle is 5 units, the area would be approximately 78.5 square units (Area = Ï€ × 5²)

Angles in a Circle

  • The sum of the interior angles of a circle is 360 degrees
  • A central angle that subtends an arc equal in length to the radius of the circle measures 60 degrees

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Description

Test your knowledge of circles with this class 9 CBSE quiz. Answer questions about the circumference formula, the relationship between diameter and radius, and calculate the area of a circle with a given radius.

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