Question : A wheel has a diameter of 84 cm, then how far does the wheel go (in metres) in 16 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 42.24
Option 2: 21.12
Option 3: 36.28
Option 4: 27.48
Correct Answer: 42.24
Solution : Given : Diameter of wheel = 84 cm Number of revolutions = 16 Now, Radius of wheel, $r = \frac{84}{2} = 42 $ cm Circumference of wheel = $2\pi r = 2\times \frac{22}{7} \times 42 = 264$ cm Distance covered by the wheel in 16 revolutions: = 16 × 264 = 4224 cm = 42.24 metres Hence, the correct answer is 42.24 metres.
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Question : If a wheel has a diameter of 42 cm, then how far does the wheel go (in metres) in 12 revolutions? (Take $\pi=\frac{22}{7}$)
Option 1: 21.45
Option 2: 23.27
Option 3: 15.84
Option 4: 17.64
Question : The radius of a circle is 1.75 cm. What is the circumference of the circle? (Take $\pi=\frac{22}{7}$)
Option 1: 5.5 cm
Option 2: 11 cm
Option 3: 9.63 cm
Option 4: 22 cm
Question : A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use $\pi=\frac{22}{7}$)
Option 1: 32 cm
Option 2: 35 cm
Option 3: 28 cm
Option 4: 36 cm
Question : The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )
Option 1: 1078 cm2
Option 2: 616 cm2
Option 3: 536 cm2
Option 4: 346.5 cm2
Question : A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m2) of the path is closest to: (Take $\pi=\frac{22}{7}$)
Option 1: 10
Option 2: 21
Option 3: 15
Option 4: 9
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