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Quiz Chapter 5: Circles

10 questions · Form 2 Mathematics Bab 5: Circles

Question 1 of 10Score: 0

An arc subtends an angle of 60° at the centre of a circle of radius 21 cm. Find the length of the arc. (Take π = 227)

Full Question List & Answer Key

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1. An arc subtends an angle of 60° at the centre of a circle of radius 21 cm. Find the length of the arc. (Take π = 227)

  1. 22 cm
  2. 11 cm
  3. 44 cm
  4. 33 cm
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Answer: A

Arc length = (θ / 360°) × 2πr = (60360) × 2 × (227) × 21 = (16) × 132 = 22 cm.

2. 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°).

3. In a cyclic quadrilateral ABCD, if ∠A = 85°, find the measure of the opposite angle ∠C.

  1. 85°
  2. 95°
  3. 185°
  4. 275°
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Answer: B

Opposite angles of a cyclic quadrilateral sum up to 180°: ∠C = 180° - 85° = 95°.

4. 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.

5. If the area of a circle is 154 cm², find its radius. (Take π = 227)

  1. 7 cm
  2. 14 cm
  3. 3.5 cm
  4. 49 cm
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Answer: A

πr² = 154 => (227)r² = 154 => r² = 154 × (722) = 49 => r = 7 cm.

6. Calculate the area of a sector with a central angle of 90° in a circle of radius 10 cm. (Take π = 3.142)

  1. 78.55 cm²
  2. 314.2 cm²
  3. 157.1 cm²
  4. 39.28 cm²
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Answer: A

Area of sector = (90360) × 3.142 × 10² = (14) × 314.2 = 78.55 cm².

7. 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.

8. 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.

9. 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.

10. Calculate the circumference of a circle with a radius of 7 cm. (Take π = 227)

  1. 22 cm
  2. 44 cm
  3. 154 cm
  4. 88 cm
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Answer: B

Circumference = 2πr = 2 × (227) × 7 = 44 cm.

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