Circles Quiz - CBSE Class 9 Mathematics

Free practice quiz: Circles (CBSE Class 9 Mathematics). 16 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the definition of a circle?

   1. A shape with three sides
   2. A closed figure with all points equidistant from a center
   3. A four-sided polygon
   4. A straight line
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   Answer: B. A closed figure with all points equidistant from a center

   A circle is defined as a closed curve with all points equidistant from the center.

2. What is the circumference of a circle with a radius of 4 cm (use π = 3.14)?

   1. 25.12 cm
   2. 12.56 cm
   3. 50.24 cm
   4. 18.84 cm
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   Answer: A. 25.12 cm

   The circumference is calculated using 2πr. Therefore, 2 x 3.14 x 4 = 25.12 cm.

3. What is the area of a circle with a radius of 7 cm? (use π = 3.14)

   1. 154 cm²
   2. 49 cm²
   3. 98 cm²
   4. 44 cm²
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   Answer: A. 154 cm²

   Area is calculated using πr². Therefore, 3.14 x 7 x 7 = 154 cm².

4. What is the length of the arc of a circle with a radius of 5 cm and a central angle of 72° (use π = 3.14)?

   1. 6.28 cm
   2. 12.56 cm
   3. 8.90 cm
   4. 18.84 cm
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   Answer: A. 6.28 cm

   Length of the arc is calculated using the formula (θ/360) x 2πr. Therefore, (72/360) x 2 x 3.14 x 5 = 6.28 cm.

5. If a circle's area is 78.5 cm² (using π = 3.14), what is the radius?

   1. 5 cm
   2. 7 cm
   3. 10 cm
   4. 6 cm
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   Answer: A. 5 cm

   Area = πr², thus 3.14r² = 78.5, giving r² = 25 and r = 5 cm.

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