Study WAEC questions on Lengths of Arcs and Chords of a Circle (+PDF)

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WAEC Lengths of Arcs and Chords of a Circle questions

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1. A chord 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle.

A. 0.7 cm
B. 1.2 cm
C. 2.0 cm
D. 2.5 cm

2. A sector of a circle with radius 6cm subtends an angle of 60° at the centre. Calculate its perimeter in term of π. 

A. 2 (π + 6) cm
B. 2 (π + 3) cm
C. 2 (π + 2) cm
D. (π + 12) cm

3. In a circle radius r cm, a chord 16√3cm long is 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r. 

A. 22cm
B. 17cm
C. 16cm
D. 15cm

4. The perimeter of a sector of a circle of radius 4cm is (π + 8) cm. Calculate the angle of the sector.

A. 45°
B. 60°
C. 75°
D. 90°

5.  A circle is divided in to sectors in the ratio 3:7. If the radius of the circle is 7cm, calculate the length of the minor arc of the circle.

A. 18.85 cm
B. 13.20 cm
C. 12.30 cm
D. 11.30 cm

6. A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle.

A. 2.5 cm
B. 3.0 cm
C. 3.5 cm
D. 4.0 cm

7. An arc of a circle, radius 14cm, is 18.33cm long. Calculate, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take π=22/7]

A. 11°
B. 20°
C. 22°
D. 75°

8. XY is a chord of circle centre O and radius 7cm. The chord XY which is 8cm long subtends an angle of 120° at the centre of the circle. Calculate the perimeter of the minor segment. [Take π=22/7]

A. 14.67 cm
B. 22.67 cm
C. 29.33 cm
D. 37.33 cm

9. The perimeter of a sector of a circle or radius 21cm is 64cm. Find the angle of the sector. [Take π=22/7]

A. 70°
B. 60°
C. 55°
D. 42°

10. The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolutions, what will be the total distance covered by the wheel? [Take π=22/7]

A. 672cm
B. 1056cm
C. 2112cm
D. 4224cm

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