Question 1 :
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In the above figure,we see two circles with the same centre. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm.Find the area of the smaller circle.
Question 2 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the area.
Question 3 :
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In the given figure, Pragya wrapped a cord around a circular pipe of radius 4 cm as shown in above figure and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π = 3.14)
Question 4 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. If the same wire is bent into the shape of a square, what will be the length of each of its sides?
Question 5 :
Diameter of a circular garden is 9.8 m. Find its area.
Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadcf59b460d7261eb83.png' />
In above image, find the area of shaded part.
Question 7 :
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Question 8 :
A garden is 90 m long and 75 m broad. A path 5 m wide is to be built around it. Find the area of the path. Also find the area of the garden in hectare.
Question 9 :
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In the given figure, The adjoining figure represents a rectangular lawn with a circular flower bed in themiddle. Find: (i)the area of the whole land (ii)the area of the flower bed (iii)the area of the lawn excluding the area of the flower bed (iv)the circumference of the flower bed.
Question 10 :
The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.
Question 11 :
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In the given figure, Find BC, if the area of the triangle ABC is $36cm^{2}$ and the height AD is 3 cm as shown in the figure above.
Question 12 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of circle.
Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad9f59b460d7261eb7f.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the area of the whole land.
Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefed.PNG' />
In the given figure, A door of length 2 m and breadth 1m is fitted in a wall. The length of the wall as in the image above is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of white washing the wall is Rs.20 per $m^{2}$.
Question 15 :
Find the circumference of the circle with the radius 21 cm. (Use π = $ \frac{22}{7}$)
Question 16 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. If the same wire is bent into the shape of a square, which figure encloses more area, circle or the square?
Question 17 :
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In the given figure, The outer rectangle is of length 6 cm and breadth 4 cm and is composed of congruent polygons. Find the area of each polygon.
Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa778c526e972caeffb.PNG' />
In the given figure, A circular flower bed is surrounded by a path 4 m wide. The diameter of the flowerbed is 66 m. What is the area of this path? (π = 3.14)
Question 19 :
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet.
Question 20 :
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Question 21 :
Find the height of triangle when its base and area are 22cm and $170.5 cm^{2}$ respectively.
Question 22 :
Find the circumference of the circle with the radius 14 cm. (Use π = $ \frac{22}{7}$)
Question 23 :
Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find (i)the area covered by the roads. (ii)the cost of constructing the roads at the rate of Rs.110 per $m^{2}$.
Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caefff.PNG' />
In the given figure, Find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm,DN = 3 cm, and BM ⊥ AC, DN ⊥ AC
Question 26 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad2f59b460d7261eb76.png' />
In above image, find the area of parallelogram.
Question 27 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa978c526e972caf003.PNG' />
In the given figure, The outer rectangle is of length 6 cm and breadth 4 cm and is composed of congruent polygons. Find the area of each polygon.
Question 28 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle.
Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad8f59b460d7261eb7e.png' />
In the above image, Pragya wrapped a cord around a circular pipe of radius 4 cm and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm. Did she have any cord left?
Question 30 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa078c526e972caefe1.PNG' />
In the given figure, Find the area of the triangle shown above.
Question 31 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefea.PNG' />
In the given figure, Which is larger? Perimeter of the smaller square or the circumference of the circle? Tell from figure above.
Question 32 :
What is the area of parallelogram where base=b and height=h ?
Question 33 :
What is the area of triangle where base=b and height=h ?
Question 34 :
Find the breadth of a rectangular plot of land, if its area is 440 $m^{2}$ and the length is 22 m. Also find its perimeter.
Question 35 :
Find the perimeter of a rectangular plot of land, if its area is 440 m and the length is 22m.
Question 36 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad3f59b460d7261eb77.png' />
In above image, ABC is right angled at A. AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, find the area of ΔABC. Also find the length of AD
Question 37 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is30 cm, find its length. Also find the area of the rectangle.
Question 38 :
Find the area of the circle with the diameter 49 m. (Use π = $ \frac{22}{7}$)
Question 39 :
Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs.15/$m^{2}$.(Take π = 3.14)
Question 40 :
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (i)the area of the verandah. (ii)the cost of cementing the floor of the verandah at the rate of Rs.200 per $m^{2}$.
Question 41 :
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In above image, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find QN if PS = 8cm.
Question 42 :
The radius of a circular pipe is 10 cm. What length of a tape is required to wrap once around the pipe (π = 3.14)?
Question 43 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the cost of the land, if 1 $m^{2}$ of the land costs Rs.10,000.
Question 44 :
What is the circumference of circle with radius 6 units ?
Question 45 :
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Use π = 3.14)
Question 46 :
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
Question 47 :
How many times a wheel of radius 28 cm must rotate to go 352 m?
Question 48 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caeffe.PNG' />
In the given figure, Find the area of shaded portion for the above figure.
Question 49 :
What is the area of rectangle where length=l and breadth=b ?
Question 50 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa278c526e972caefe8.PNG' />
In the given figure, Find the area of the parallelogram in the above figure.