Question 1 :
What is the area of circle having radius 3 units ?
Question 3 :
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 4 : <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 5 :
Find the height ‘x’ if the area of the parallelogram is $24 cm^{2}$ and the base is 4 cm.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa078c526e972caefe2.PNG' />
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 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe3.PNG' />
In the given figure, In ∆PQR, PR = 8 cm, QR = 4 cm and PL = 5 cm as shown in the figure above. Find: (i)the area of the ∆PQR (ii)QM
Question 8 : <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 9 :
Diameter of a circular garden is 9.8 m. Find its area.
Question 10 :
Find the area of a circle of radius 30 cm (use π = 3.14).
Question 11 : <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 smaller circle.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa278c526e972caefe9.PNG' />
In the given figure, Find the area of the parallelogram in the above figure.
Question 13 :
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 14 : <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 15 :
What is the circumference of a circular disc of radius 14 cm? (Use π = $ \frac{22}{7}$)
Question 17 : <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 18 :
Find the area of a square park whose perimeter is 320 m.
Question 19 :
Find the base of parallelogram when its height and area are 8.4cm and $48.72 cm^{2}$ respectively.
Question 20 :
Find the height of parallelogram when its base and area are 15.6cm and $16.38 cm^{2}$ respectively.
Question 21 :
Find the height of triangle when its base and area are 22cm and $170.5 cm^{2}$ respectively.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff5.PNG' />
In the given figure, Find the area of the triangle .
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff7.PNG' />
In the given figure, ∆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 ∆ABC. Also find the length of AD.
Question 24 :
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. (Take π = 3.14)
Question 25 :
Find the area of the circle with the diameter 49 m. (Use π = $ \frac{22}{7}$)
Question 26 :
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 27 :
Find the circumference of the circle with the radius 14 cm. (Use π = $ \frac{22}{7}$)
Question 28 :
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 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa978c526e972caf002.PNG' />
In the given figure, Anu wants to fence the garden in front of her house, on three sides with lengths 20 m, 12 m and 12 m. Find the cost of fencing at the rate of Rs.150 per metre.
Question 30 :
A door-frame of dimensions 3 m × 2 m is fixed on the wall of dimension10 m × 10 m. Find the total labour charges for painting the wall if theclabour charges for painting 1 $m^{2}$ of the wall is Rs.2.50.
Question 31 :
A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which encloses more area, the square or the rectangle?
Question 32 : <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 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aaa78c526e972caf006.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 34 :
What would you need to find, area or perimeter to answer the following : How much plastic sheet do you need to cover a rectangular swimming pool ?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6d.png' />
In above image, find the area of triangle.
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1caccf59b460d7261eb6f.png' />
In above image, find the area of parallelogram.
Question 37 :
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
Question 38 :
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 40 :
How many times a wheel of radius 28 cm must rotate to go 352 m?
Question 41 :
Find the breadth of a rectangular plot of land, if its area is 440 m and the length is 22m.
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacef59b460d7261eb71.png' />
In above image, find the area of triangle.
Question 43 :
The area of a square park is the same as of a rectangular park. If the side of the park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad0f59b460d7261eb73.png' />
In above image, A door of length of 2 m and breadth 1m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of white washing the wall if the rate of white washing the wall is 20 Per m$^2$.
Question 45 : <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 46 :
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 47 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length.
Question 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad9f59b460d7261eb80.png' />
In above image, find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM perpendicular to AC, DN perpendicular to AC.
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad7f59b460d7261eb7d.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the circumference of the flower bed.
Question 50 : <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.
