Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

A path of 4m width runs rounda semi-circular grassy plot whose circumference is 163+3/7 m. find  

1. area of the path

2.cost of gravelling the path at the rate of Rs 1.50 per sq.m

3.cost of turfing the plot at the rate of 45 paise per sq.m

Asked by Divyaa | 27 Mar, 2017, 02:29: PM
answered-by-expert Expert Answer
Hi Divya,
 
There area two possibilities to for this diagram. If the diagram is given please post it. 
Otherwise based on the information given in the question, this will be the diagram. The answers however, are not matching your answer.Please check the solution and let us know if you have any doutbs regarding the solution.
begin mathsize 16px style 1. space Circumference space of space the space semi minus circular space plot equals space 163 3 over 7 space straight m equals 1144 over 7 space straight m rightwards double arrow πr plus 2 straight r equals 1144 over 7 rightwards double arrow straight r open parentheses 22 over 7 plus 2 close parentheses equals 1144 over 7 rightwards double arrow straight r open parentheses 36 over 7 close parentheses equals 1144 over 7 rightwards double arrow straight r equals 31.8 space straight m space left parenthesis approximately right parenthesis Radius space of space the space outer space semi minus circle equals straight r plus 4 equals 31.8 plus 4 equals 35.8 space straight m So comma space area space of space the space path equals area space of space the space big space semi short dash circle space bold minus space area space of space the space small space semi short dash circle equals fraction numerator πR squared minus πr squared over denominator 2 end fraction equals fraction numerator straight pi left parenthesis straight R squared minus straight r squared right parenthesis over denominator 2 end fraction equals straight pi fraction numerator left parenthesis 35.8 squared minus 31.8 squared right parenthesis over denominator 2 end fraction equals 22 over 7 fraction numerator left parenthesis 1281.64 minus 1011.24 right parenthesis over denominator 2 end fraction equals fraction numerator 22 over denominator 7 cross times 2 end fraction left parenthesis 270.4 right parenthesis almost equal to 425 space sq space straight m space left parenthesis approximately right parenthesis 2. space cost space of space gravelling space the space path space is space Rs. space 150 space per space sq space straight m So comma space the space cost space of space gravelling space the space entire space path equals 425 cross times 150 equals Rs. space 63750 3. space cost space of space turfing space the space path space is space 45 space paise space per space sq space straight m So comma space the space cost space of space turfing space the space bold semi bold short dash bold circular bold space bold grassy bold space bold plot equals area space of space the space bold plot cross times 45 over 100 equals πr squared over 2 cross times 45 over 100 equals 22 over 7 cross times fraction numerator 31.8 squared over denominator 2 end fraction cross times 45 over 100 equals 22 over 7 cross times fraction numerator 1011.24 over denominator 2 end fraction cross times 45 over 100 equals Rs. space 715.09 end style
Answered by Rebecca Fernandes | 28 Mar, 2017, 08:57: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
A blacksmith has a rectangular sheet of iron. He has to make a cylindrical vessel both circular ends are closed. When he minimizes the wastage of the sheet of iron, then what is the ratio of the wastage to the utilised area of sheet?
question image
Asked by jagdishdabang79 | 18 Mar, 2024, 08:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A square with perimeter p cm has more area than a circle with circumference p cm. State true or false with explanation
Asked by Trisha Gupta | 07 Oct, 2021, 03:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if area of circle numricle double its perimeter find the radius of circle 4units
Asked by sohamsuryawanshi7824 | 22 Sep, 2020, 06:29: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If a truck covers 2.2 km and each wheel makes 350 complete revolution.Find the radius of the wheel  
Asked by kibaisato00 | 04 Jul, 2020, 11:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the forewheel of tractor makes 120 revolution more than the rear wheel in going 720m. if the diameter of the forewheel is doubled and the diameter of the rear wheel in increased by half times the present diameter then the forewheel makes 20 revolution more than the rear wheel in going the same distance find the circumference of each wheel
Asked by patil.gopi400 | 01 Jun, 2020, 10:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Hello Sir, Please clarify my doubt 1) A wire is in the form of a square of side121cm.It is cut and made into the shape of a circle.Find the diameter of the circle. 2) a wire is in the form of a triangle of sides 28cm,26cm and 30cm.The wire is cut and made into a circle.Will the area of the circle be the same as that of the triangle? Thank You.
Asked by seeni2005 | 24 Nov, 2019, 03:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Hello sir, please explain the questions that follow: 1) Find the width of the race track which is of a ring shape if the inner circumference is 528m and the outer circumference is 616m. 2) A wire is in the form of a square of side121cm.It is cut and made into the shape of a circle.Find the diameter of the circle. 3) a wire is in the form of a triangle of sides 28cm,26cm and 30cm.The wire is cut and made into a circle.Will the area of the circle be the same as that of the triangle? Thank You.  
Asked by seeni2005 | 20 Nov, 2019, 10:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A bicycle wheel makes 5000 revolutions in moving 11km. Find diameter of wheel?
Asked by vedantsagrawal23 | 01 Aug, 2019, 06:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A triangle has side lengts 2,3,4. a tangent is drawn to the incircle parallel to side 2cm cutting the other two sides at M and N .Find the lenght MN.  
Asked by sandy72434 | 07 Jul, 2019, 01:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins. CAT Mensuration Test
Asked by rushabhjain.av | 07 Feb, 2019, 03:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×