default_background
✕

Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Q17:
The minute hand of a circular clock is $15$ cm long. How far does the tip of the minute hand move in $1$ hour. (Take $\pi = 3.14$)

Solution :

Given Variables & Initial Setup

To determine the distance covered by the tip of the minute hand, we must first establish the geometric parameters of the system based on the provided values:

  • Length of the minute hand (Radius, $r$) = $15$ cm
  • Time elapsed ($t$) = $1$ hour
  • Value of Pi ($\pi$) = $3.14$

Step 1: Analyzing the Kinematics of the Minute Hand

The minute hand of a clock is anchored at the center of the clock face. As time progresses, the tip of the minute hand traces a perfect circle. [Per the definition of a circle: the locus of all points in a plane that are at a given distance from a given point, the center].

In exactly $1$ hour ($60$ minutes), the minute hand completes one full revolution around the clock face. Therefore, the angular displacement is $360^\circ$ or $2\pi$ radians. The total linear distance moved by the tip of the minute hand is exactly equal to the circumference of the circle it traces.

Step 2: Formulating the Geometric Equation

The circumference ($C$) of a circle is given by the standard geometric formula:

$C = 2\pi r$

Where:

  • $C$ represents the total distance moved by the tip in one revolution.
  • $\pi$ is the mathematical constant (given as $3.14$).
  • $r$ is the radius of the circular path, which corresponds to the length of the minute hand ($15$ cm).

Step 3: Visualizing the Circular Path

The following diagram illustrates the circular path traced by the tip of the minute hand over the course of $1$ hour.

r = 15 cm Distance = 2Ï€r (1 Revolution) 12 3 6 9

Step 4: Execution and Algebraic Calculation

Substitute the given values into the circumference formula:

$C = 2 \times 3.14 \times 15$

To simplify the calculation, use the commutative property of multiplication to group the integers first:

$C = (2 \times 15) \times 3.14$

$C = 30 \times 3.14$

Perform the final multiplication:

$C = 94.2$ cm

Final Solution: The tip of the minute hand moves a total distance of $94.2$ cm in $1$ hour.


More Questions from Class 9 Mathematics Coordinate Geometry EXERCISE 9.2


CBSE Solutions for Class 9 Mathematics Coordinate Geometry


Chapters in CBSE - Class 9 Mathematics


Top Tutors who teach Coordinate Geometry

(11)
Top Tutor
locationImg Arjan Garh, Delhi
experience 8 yrs of Exp students 2 students
greenClock 31 hrs of classes completed
rsIcon 600 per hour
Biotechnologist with 7 years tutoring experience
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home
Rayansh

Depankar sir is a very interactive teacher he makes learning fun and effective.After studying with him for only 6 months I have shown signs of improvement. I would definitely recommend him go everyone

Skills: English , Mathematics and more
Also teaches: Class 12 Tuition, Class 11 Tuition and more

(9)
Top Tutor
locationImg West Marredpally, Hyderabad
experience 20 yrs of Exp
greenClock 127 hrs of classes completed
rsIcon 400 per hour
15 years Experience of teaching Physics at school and college level
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I have more than 15 years teaching experience in teaching CBSE classes 8-10 Physics/Chemistry. I can also teach math upto 9th . All my students secured 10/10 in previous years exams. And in school more than 90% students got more than 90 in Science Exam and all have passed in Science i. Physics and Chemistry.

Neha

I am so impressed with his teaching. Highly Recommended!!!

Skills: Mathematics , Physics and more
Also teaches: Class 12 Tuition, Class 11 Tuition and more

(23)
Top Tutor
locationImg Sector 31 31C, Chandigarh
experience 7 yrs of Exp students 28 students
Experience of teaching iitans and neet students
Online Classes Online Classes
homeTutions Student's Home
regularClasses Tutor's home

I have been teaching for seven years. . I am teaching maths for cbse, icse,IB (international baccalaureate)' usa and uk (precalculus, AP calculus, algebra) acdamic students up to 12 grade and students preparing for SAT, OLYMPIAD, engineering and IIT ENTRANCE . Besides this I am also teaching Physics and Chemistry. I love teaching. I have excellent communication skills, a good understanding of concepts, ability to motivate students. Since every student has a different understanding level so for me its essential to know in what way students will understand and to explain them quickly. I also like to help in teaching someone who is financially weak to get an education. I can assure you to give 100% results. I will give you free demo classes and Pay me only when you will be completely satisfied with my teaching. I am btech from IIT Delhi Now I am full time in teaching

Basant

Excellent teaching capability. Young and sincere. Always punctual in class timings wish him a lot of successes

Skills: English , Mathematics and more
Also teaches: Class 6 Tuition, Class 7 Tuition and more

locationImg Indirapuram, Ghaziabad
experience 8 yrs of Exp students 3 students
rsIcon 300 per hour
An tutor with 10year+ experience
Online Classes Online Classes
homeTutions Student's Home

I am a teacher of maths and science, having a experience of 8+ years in teaching, done my schooling from CBSe board and degree from IP university.

Skills: Mathematics , Science
Also teaches: Class 11 Tuition, Class 8 Tuition and more

(29)
Top Tutor
locationImg Sector 10, Dwarka, Delhi
experience 20 yrs of Exp students 4 students
greenClock 114 hrs of classes completed
rsIcon 500 per hour
I am a 20 years experienced maths faculty teaching in India's no. one coaching Institute.
Online Classes Online Classes

Till date taught 1200+ students preparing for board examinations in 10th standard, average result= 98.75% marks. Do you want YOUR child to excel too? Contact me at the earliest!

Shubh

Very nice teacher. Most efficient in judging weakness in subject and in filling those knowledge gaps. Thank you so much for your support. Highly recommended to all.

Skills: Mathematics
Also teaches: Math Olympiad, Class 9 Tuition and more

Find more Tutor for Coordinate Geometry in your City


Other Subjects in CBSE - Class 9

Worksheet Icon

Download free CBSE - Class 9 Mathematics Coordinate Geometry EXERCISE 9.2 worksheets

Download Now

Find Best Class 10 Tuition ?

Find Now »