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Solutions for Chapter 2: Measurements
Below listed, you can find solutions for Chapter 2 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 2 [English] Class 7 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 2 Measurements Exercise 2.1 [Pages 27 - 28]
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
radius (r) | diameter (d) | Circumference (C) |
15 cm |
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
radius (r) | diameter (d) | Circumference (C) |
1760 cm |
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
radius (r) | diameter (d) | Circumference (C) |
24 m |
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 70 cm
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 56 m
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 28 mm
Find the circumference of the circles whose radii are given below.
49 cm
Find the circumference of the circles whose radii are given below.
91 mm
The diameter of a circular well is 4.2 m. What is its circumference?
The diameter of the bullock cart wheel is 1.4 m. Find the distance covered by it in 150 rotations?
A ground is in the form of a circle whose diameter is 350 m. An athlete makes 4 revolutions. Find the distance covered by the athlete
A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?
A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of ₹ 150 per metre. Find the cost of fencing?
Objective type questions
Formula used to find the circumference of a circle is
2πr units
πr2 + 2r units
πr2 sq.units
πr3 cu.units
In the formula, C = 2πr, ‘r’ refers to
circumference
area
rotation
radius
If the circumference of a circle is 82π, then the value of ‘r’ is
41 cm
82 cm
21 cm
20 cm
Circumference of a circle is always ______.
more than three times of its diameter
three times of its diameter
less than three times of its diameter
three times of its radius
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 2 Measurements Exercise 2.2 [Pages 33 - 34]
Find the area of the dining table whose diameter is 105 cm
Calculate the area of the shotput circle whose radius is 2.135 m.
A sprinkler placed at the centre of a flower garden sprays water covering a circular area. If the area watered is 1386 cm2, find its radius and diameter
The circumference of a circular park is 352 m. Find the area of the park
In a grassland, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze
Find the length of the rope by which a bull must be tethered in order that it may be able to graze an area of 2464 m2
Lalitha wants to buy a round carpet of radius is 63 cm for her hall. Find the area that will be covered by the carpet
Thenmozhi wants to level her circular flower garden whose diameter is 49 m at the rate of ₹ 150 per m2 Find the cost of levelling
The floor of the circular swimming pool whose radius is 7 m has to be cemented at the rate of ₹ 18 per m2. Find the total cost of cementing the floor
Objective type questions
The formula used to find the area of the circle is ________ sq.units
4πr2
πr2
2πr2
πr2 + 2r
The ratio of the area of a circle to the area of its semicircle is
2 : 1
1 : 2
4 : 1
1 : 4
Area of circle of radius ‘n’ units is
2πrp sq.units
πm2 sq.units
πr2 sq.units
πn2 sq.units
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 2 Measurements Exercise 2.3 [Pages 38 - 39]
Find the area of a circular pathway whose outer radius is 32 cm and inner radius is 18 cm.
There is a circular lawn of radius 28 m. A path of 7 m width is laid around the lawn. What will be the area of the path?
A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet
A school ground is in the shape of a circle with radius 103 m. Four tracks each of 3 m wide has to be constructed inside the ground for the purpose of track events. Find the cost of constructing the track at the rate of ₹ 50 per sq.m
The figure shown is the aerial view of the pathway. Find the area of the pathway
A rectangular garden has dimensions 11 m × 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path
A picture is painted on a ceiling of a marriage hall whose length and breadth are 18 m and 7 m respectively. There is a border of 10 cm along each of its sides. Find the area of the border
A canal of width 1 m is constructed all along inside the field which is 24 m long and 15 m wide. Find (i) the area of the canal (ii) the cost of constructing the canal at the rate of ₹ 12 per sq.m.
Objective type questions
The formula to find the area of the circular path is
π(R2 – r2) sq.units
πr2 sq.units
2πr2 sq.units
πr2 + 2r sq.units
The formula used to find the area of the rectangular path is
π(R2 – r2) sq.units
(L × B) – (l × b) sq.units
LB sq.units
lb sq.units
The formula to find the width of the circular path is
(L – l) units
(B – b) units
(R – r) units
(r – R) units
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 2 Measurements Exercise 2.4 [Pages 39 - 40]
Miscellaneous Practice problems
A wheel of a car covers a distance of 3520 cm in 20 rotations. Find the radius of the wheel?
The cost of fencing a circular race course at the rate of ₹ 8 per metre is ₹ 2112. Find the diameter of the race course
A path 2 m long and 1 m broad is constructed around a rectangular ground of dimensions 120 m and 90 m respectively. Find the area of the path
The cost of decorating the circumference of a circular lawn of a house at the rate of ₹ 55 per metre is ₹ 16940. What is the radius of the lawn?
Four circles are drawn side by side in a line and enclosed by a rectangle as shown below. If the radius of each of the circles is 3 cm, then calculate:
(i) The area of the rectangle.
(ii) The area of each circle.
(iii) The shaded area inside the rectangle.
Challenge Problems
A circular path has to be constructed around a circular lawn. If the outer and inner circumferences of the path are 88 cm and 44 cm respectively, find the width and area of the path
A cow is tethered with a rope of length 35 m at the centre of the rectangular field of length 76 m and breadth 60 m. Find the area of the land that the cow cannot graze?
A path 5 m wide runs along the inside of the rectangular field. The length of the rectangular field is three times the breadth of the field. If the area of the path is 500 m2 then find the length and breadth of the field
A circular path has to be constructed around a circular ground. If the areas of the outer and inner circles are 1386 m2 and 616 m2 respectively, find the width and area of the path
A goat is tethered with a rope of length 45 m at the centre of the circular grassland whose radius is 52 m. Find the area of the grassland that the goat cannot graze
A strip of 4 cm wide is cut and removed from all the sides of the rectangular cardboard with dimensions 30 cm × 20 cm. Find the area of the removed portion and area of the remaining cardboard
A rectangular field is of dimension 20 m × 15 m. Two paths run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is 2 m and that of the shorter path is 1 m. Find (i) the area of the paths (ii) the area of the remaining portion of the field (iii) the cost of constructing the roads at the rate of ₹ 10 per sq.m
Solutions for 2: Measurements
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Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 2 - Measurements
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Concepts covered in Mathematics - Term 2 [English] Class 7 TN Board chapter 2 Measurements are Area of Pathways, Concept of Circle, Circumference of a Circle, Area of Circle.
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