Question 1 :
A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area ofthis path?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6e.png' />
In above image, find the perimeter of the semicircle including its diameter.
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff8.PNG' />
In the given figure, Find the area of the parallelogram .
Question 4 :
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.
Question 5 : <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 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caeffd.PNG' />
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 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9f78c526e972caefdd.PNG' />
In the given figure, A rectangular park is 45 m long and 30 m wide.A path 2.5 m wide is constructed outside the park. Find the area of the path.
Question 9 : <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 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa478c526e972caefee.PNG' />
In the given figure, Find the area of the triangle.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadbf59b460d7261eb82.png' />
In above image, find the area of shaded part.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad3f59b460d7261eb78.png' />
In above image, find the area of parallelogram.
Question 13 :
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 14 :
A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)
Question 15 :
A path 5 m wide runs along inside a square park of side100 m. Find the area of the path. Also find the cost of cementing it at the rate of Rs. 250 per 10 $m^{2}$.
Question 16 : <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 17 :
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 18 :
A path 1 m wide is built along the border and inside a square garden of side 30m. Find the area of the path.
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefeb.PNG' />
In the given figure, Find the perimeter of the given shape as shown in the figure above. (Use π = $ \frac{22}{7}$)
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff2.PNG' />
In the given figure, 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: (a)the area of the parallelogram PQRS (b)QN, if PS = 8 cm.
Question 21 :
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 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac9f59b460d7261eb6b.png' />
In above image, find the area of triangle.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa478c526e972caeff0.PNG' />
In the given figure, Find the area of the triangle .
Question 24 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the area.
Question 25 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find the area.
Question 26 :
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 27 :
Find the area of a circle of radius 30 cm (use π = 3.14).
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9f78c526e972caefde.PNG' />
In the given figure, Two cross roads, each of width 5 m, run at right angles through the centre of a rectangular park of length 70 m and breadth 45 m and parallel to its sides. Find the area of the roads. Also find the cost of constructing the roads at the rate of Rs.105 per $m^{2}$.
Question 30 :
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Use π = $ \frac{22}{7}$)
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacef59b460d7261eb72.png' />
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 32 :
Find the area of the circle with the radius 5cm. (Use π = $ \frac{22}{7}$)
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe5.PNG' />
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 shaded region between the two circles.
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c845f59b460d7261e820.PNG' />
In the image above, triangle AEC is right-angled at E, B is a point on EC, BD is the altitude of triangle ABC, AC = 25 cm, BC = 7 cm and AE = 15 cm. Find the area of triangle ABC.
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe4.PNG' />
In the given figure, The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm as shown in the figure above. Find the (i)area of the parallelogram. (ii)the height corresponding to the base AD
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefea.PNG' />
In the given figure, Which of the squares has larger perimeter?
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caf000.PNG' />
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 38 :
Find the perimeter of a rectangular plot of land, if its area is 440 m and the length is 22m.
Question 39 :
Find the base of triangle when its height and area are 31.4mm and $1256 mm^{2}$ respectively.
Question 40 :
A circular flower garden has an area of $314 m^{2}$. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)
Question 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe5.PNG' />
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 larger circle.
Question 42 :
Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15.
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff3.PNG' />
In the given figure, Find the area of the parallelogram .
Question 44 :
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 cost Rs 10,000.
Question 45 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff6.PNG' />
In the given figure, ∆ABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm . The height AD from A to BC, is 6 cm. Find the area of ∆ABC. What will be the height from C to AB i.e., CE?
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad1f59b460d7261eb75.png' />
In above image, find the area of triangle.
Question 47 :
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 48 :
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs 4 per meter.
Question 49 :
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.
