मराठी

A Horse is Tied with a 21 M Laig Rope to the Corner of a Field Which is in the Shape of an Equilateral Triangle. - Mathematics

Advertisements
Advertisements

प्रश्न

A horse is tied with a 21 m laig rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.

बेरीज

उत्तर

An equilateral triangle has all angles of 60 degrees

The horse will be able to graze over a sector of a circle of radius 21cm and angle 60, so

Area = `60^circ/360^circ  pi "r"^2`

`= 60^circ/360^circ xx 22/7 xx 21 xx 21`

= 231 m2

Horse can graze in 231 m2 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Mensuration I - Exercise 19.1

APPEARS IN

फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 19 Mensuration I
Exercise 19.1 | Q 24

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Find in terms of x the length of the arc that subtends an angle of 30°, at the centre of circle of radius 4 cm.


Find the angle subtended at the centre of circle of radius 5cm by an arc of length `((5pi)/3)` cm


Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14]


A sector of 56°, cut out from a circle, contains 17.6 cm2. Find the radius of the circle.


Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm ⨯ 7 cm. Find the area of the remaining cardboard.


A path of 8 m width runs around the outsider of a circular park whose radius is 17 m. Find the area of the path.


The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle.


The radius of the wheel of a vehicle is 42 cm. How many revolutions will it complete in a 19.8-km-long journey?


The radii of two concentric circles are 19 cm and 16 cm respectively. The area of the ring enclosed by these circles is


The radius of the circle is given below; find the area.

28 cm


Find the curved surface area , the total surface area and the volume of a cone if its : 

Height = 15 cm , radius = 8 cm


Find the area and perimeter of the circle with the following :

 Diameter = 77 cm 


Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm. 


Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .


An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.


Find the dimensions of a rectangular park whose perimeter is 60 m and area 200 m2.


If the circumference of a circle is 176 cm, find its radius.


In the formula, C = 2πr, ‘r’ refers to


If the circumference of a circle is 82π, then the value of ‘r’ is


If the circumference of a circle is 352 metres, then its area in square metres is ____________.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×