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Quiz Chapter 5: Circles

10 questions · Form 2 Mathematics Bab 5: Circles

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. What is the region bounded by a chord and an arc called?

  1. Sector
  2. Segment
  3. Quadrant
  4. Semicircle
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Answer: B

A segment is the region bounded by a chord and its corresponding arc.

2. A chord of length 12 cm is at a distance of 8 cm from the centre of a circle. Calculate the radius of the circle.

  1. 10 cm
  2. 14 cm
  3. 20 cm
  4. 6 cm
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Answer: A

The perpendicular bisector forms a right triangle with half the chord (6 cm) and distance (8 cm). Radius r = √6² + 8² = √36 + 64 = √100 = 10 cm.

3. A perpendicular drawn from the centre of a circle to a chord of length 16 cm bisects the chord. What is the length of each half?

  1. 4 cm
  2. 8 cm
  3. 16 cm
  4. 32 cm
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Answer: B

A perpendicular line from the centre bisects the chord into two equal parts: 162 = 8 cm.

4. The angle at the centre of a sector is 120° and its arc length is 44 cm. Find the radius of the circle. (Take π = 227)

  1. 21 cm
  2. 14 cm
  3. 42 cm
  4. 28 cm
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Answer: A

(120360) × 2 × (227) × r = 44 => (13) × (447) × r = 44 => r = 44 × 3 × (744) = 21 cm.

5. In a circle with radius 13 cm, a chord is 5 cm away from the centre. What is the length of the chord?

  1. 12 cm
  2. 24 cm
  3. 18 cm
  4. 26 cm
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Answer: B

Half chord = √13² - 5² = √169 - 25 = √144 = 12 cm. Full chord length = 2 × 12 = 24 cm.

6. What is the longest chord in a circle?

  1. Radius
  2. Arc
  3. Diameter
  4. Tangent
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Answer: C

The diameter passes through the centre of the circle and connects two points on the circumference, making it the longest chord.

7. A sector has an area of 38.5 cm² and a radius of 7 cm. Calculate the central angle θ. (Take π = 227)

  1. 45°
  2. 90°
  3. 60°
  4. 120°
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Answer: B

(θ / 360) × (227) × 7² = 38.5 => (θ / 360) × 154 = 38.5 => θ / 360 = 0.25 => θ = 90°.

8. Find the area of a circle with a diameter of 14 cm. (Take π = 227)

  1. 154 cm²
  2. 616 cm²
  3. 44 cm²
  4. 308 cm²
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Answer: A

Radius r = 142 = 7 cm. Area = πr² = (227) × 7² = 154 cm².

9. What is the angle subtended by a diameter at the circumference of a circle?

  1. 45°
  2. 60°
  3. 90°
  4. 180°
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Answer: C

The angle subtended at the circumference in a semicircle is always a right angle (90°).

10. Find the perimeter of a semicircle with a radius of 7 cm. (Take π = 227)

  1. 22 cm
  2. 36 cm
  3. 44 cm
  4. 58 cm
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Answer: B

Perimeter = Arc length of semicircle + Diameter = (πr) + 2r = ((227) × 7) + 2(7) = 22 + 14 = 36 cm.

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