The diameter of a circle is $7 \mathrm{~cm}$. Find its area
- A$154 \mathrm{~cm}^{2}$
- ✓$38.5 \mathrm{~cm}^{2}$
- C$22 \mathrm{~cm}^{2}$
- D$11 \mathrm{~cm}^{2}$
Answer: B.
View full solution →Question types
Perimeter and Area question types
153 questions across 8 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
153
Questions
8
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
33 Q→02True False[1 Marks ]
20 Q→03BLANKS [1 Marks Each]
30 Q→041 Marks Question
14 Q→052 Marks Questions
36 Q→065 Marks Questions
6 Q→07case /data -based (4 Marks)
3 Q→083 Marks Question
11 Q→Sample Questions
Perimeter and Area questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The radius of a circle is $7 \mathrm{~cm}$. Find its area
- ✓$154 \mathrm{~cm}^{2}$
- B$77 \mathrm{~cm}^{2}$
- C$11 \mathrm{~cm}^{2}$
- D$22 \mathrm{~cm}^{2}$
Answer: A.
View full solution →The diameter of a circle is $14 \ cm$. Find its circumference
- ✓$44 \ cm$
- B$22 \ cm$
- C$11 \ cm$
- D$55 \ cm$
Answer: A.
View full solution →The radius of a circle is $7 \ cm$. Its circumference is
- A$22 \ cm$
- ✓$44 \ cm$
- C$11 \ cm$
- D$66\ cm$
Answer: B.
View full solution →Which of the following is not the value of $\pi$ ?
- A$\frac{22}{7}$
- ✓$A$ is False and $R$ is the correct explanation of $A$
- C$\frac{355}{113}$
- D$3.14$
Answer: B.
View full solution →The area of a circular region is known as its circumference.
The value of $\pi$ is $31.4.$
View full solution →Area of a triangle $ABC =\frac{1}{2} \times$ area of a parallelogram $ABCD$
View full solution →$1 km ^2=10.000 m ^2$
View full solution →Area of a parallelogram $=\frac{1}{2} \times$ length $\times$ breadth.
View full solution →The perimeter of a square having side $5a \ cm$ is $…………...cm$. $\left(10 a, 25 a^2, 20 a\right)$
View full solution →The area of a rectangle having length $x \ cm$ and breadth $(x - 10) \ cm$ is………….$cm ^2$. $\left(2 x-10,2 x+10, x^2-10 x\right)$
View full solution →The area of a circle having radius $\frac{7}{22} cm$ is………….$cm ^2$. $\left(\frac{7}{22}, \frac{22}{7}, \frac{44}{49}\right)$
View full solution →$PQRS$ is a parallelogram having an area $40 cm ^2$, then area of $\triangle PQR = ............cm ^2. (80, 40, 20)$
View full solution →In $\triangle ABC , \angle B =90^{\circ}, AB =8 cm$ and $BC =6 cm$, Area of $\triangle ABC =$.............$cm ^2. (24, 48, 12)$
View full solution →Find the area of the circle, given that: radius $= 14 mm$ (Take $\pi$ = $\frac{22}{7}$)
View full solution →Find the circumference of the circle with the radius:$21\ cm$ (Take $\pi$ = $\frac{22}{7}$)
View full solution →Find the circumference of the circle with the radius (Take $\pi = \frac{22}{7}): 28 \ mm$
View full solution →Find the circumference of the circle with the radius: $14\ cm$ (Take $\pi$ = $\frac{22}{7}$)
View full solution →Find the area of triangle
Find the cost of polishing a circular table-top of diameter $1.6 \ m$, if the rate of polishing is ₹ $15 / \mathrm{m}^2$. (Take $\pi = 3.14)$
View full solution →Find the perimeter of the adjoining figure, which is a semicircle including it's the diameter.
Saima wants to put 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 cost $₹ 15$. (Take $\pi = 3.14)$
View full solution →If the circumference of a circular sheet is $154 \ m$, find its radius. Also, find the area of the sheet (Take $\pi$=$\frac{22}{7}$)
View full solution →Find the area of the circle, given that: radius $= 5 cm.$
View full solution →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.
View full solution →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?
View full solution →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 ₹ $105 ~per ~m^2$.
View full solution →A path $5 \ m$ wide runs along inside a square park of side $100 \ m$. Find the area of the path. Also find the cost of cementing it at the rate of ₹ $250 ~per ~10 ~m^2$.
View full solution →Sudhanshu divides a circular disc of radius $7 \ cm$ in two equal parts. What is the perimeter of each semicircular shape disc? (Use $\pi = \frac{22}{7}$)
View full solution →Given below is a piece of cardboard.
$1.$ What is its area$?$
$2.$ Jatin placed another cardboard of same size along the $12\ cm$ long edge.
What is the perimeter of the combined shape$?$
View full solution →$1.$ What is its area$?$
$2.$ Jatin placed another cardboard of same size along the $12\ cm$ long edge.
What is the perimeter of the combined shape$?$
Given below is the map of a society park.
The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
$1.$ What is the perimeter of grass patch $1?$
$A. 191\ m$
$B. 382\ m$
$C. 800\ m$
$D. 1528\ m$
$2. $What is the area of the running and jogging path$?$
$A. 3519\ m^2$
$B. 3600\ m^2$
$C. 8495.25 \ m^2$
$D. 37,500\ m^2$
$3.$ Two sitting benches are installed in the grass patches. The seat of each bench is of the length $1.2 m$ and width $0.7 m.$ How much area $($in $m^2)$ is reserved for sitting in the park$?$
$A. 0.84$
$B. 1.68$
$C. 3.36$
$D. 6.72$
$4.$ The patch $2$ is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular area. What is the area in which the tulips are planted?
$A. 2831.75\ m^2$
$B. 4247.625\ m^2$
$C. 8495.25\ m^2$
$D. 18,750\ m^2$
$5.$ Inside the grass patch $4,$ lily lowers are planted to make a $1.25 m$ wide bed. The length of the bed is same as the length of the patch. What is the area $($in $m^2$ covered by lillies$)?$
$A. 88.125$
$B. 150.625$
$C. 243.5$
$D. 8645.875$
$6.$ Swings are installed for kids at the centre of grass patch $3.$ The area reserved for the swings is square in shape with a width of $40\ m.$ What is the remaining area of grass patch 3 after the swing installation$?$
$7$. One room in Joseph’s house has a circular glass roof. The diameter of the roof is $2.8\ m. $ What is the area of the glass roof?
$8.$ The circular frame of the glass roof is made of wire. What is the length of the wire$?$
$A. 6.16\ m$
$B. 8.8\ m$
$C. 17.6\ m$
$D. 12.32\ m$
View full solution →The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
$1.$ What is the perimeter of grass patch $1?$
$A. 191\ m$
$B. 382\ m$
$C. 800\ m$
$D. 1528\ m$
$2. $What is the area of the running and jogging path$?$
$A. 3519\ m^2$
$B. 3600\ m^2$
$C. 8495.25 \ m^2$
$D. 37,500\ m^2$
$3.$ Two sitting benches are installed in the grass patches. The seat of each bench is of the length $1.2 m$ and width $0.7 m.$ How much area $($in $m^2)$ is reserved for sitting in the park$?$
$A. 0.84$
$B. 1.68$
$C. 3.36$
$D. 6.72$
$4.$ The patch $2$ is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular area. What is the area in which the tulips are planted?
$A. 2831.75\ m^2$
$B. 4247.625\ m^2$
$C. 8495.25\ m^2$
$D. 18,750\ m^2$
$5.$ Inside the grass patch $4,$ lily lowers are planted to make a $1.25 m$ wide bed. The length of the bed is same as the length of the patch. What is the area $($in $m^2$ covered by lillies$)?$
$A. 88.125$
$B. 150.625$
$C. 243.5$
$D. 8645.875$
$6.$ Swings are installed for kids at the centre of grass patch $3.$ The area reserved for the swings is square in shape with a width of $40\ m.$ What is the remaining area of grass patch 3 after the swing installation$?$
$7$. One room in Joseph’s house has a circular glass roof. The diameter of the roof is $2.8\ m. $ What is the area of the glass roof?
$8.$ The circular frame of the glass roof is made of wire. What is the length of the wire$?$
$A. 6.16\ m$
$B. 8.8\ m$
$C. 17.6\ m$
$D. 12.32\ m$
Given below is the map of a society park.
The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
1. Inside the grass patch 4, lily lowers are planted to make a 1.25 m wide bed. The length of the bed is same as the length of the patch. What is the area (in m² covered by lillies)?
A. 88.125
B. 150.625
C. 243.5
D. 8645.875
2. Swings are installed for kids at the centre of grass patch 3. The area reserved for the swings is square in shape with a width of 40 m. What is the remaining area of grass patch 3 after the swing installation?
3. One room in Joseph’s house has a circular glass roof. The diameter of the roof is 2.8 m. What is the area of the glass roof?
4. The circular frame of the glass roof is made of wire. What is the length of the wire?
A. 6.16 m
B. 8.8 m
C. 17.6 m
D. 12.32 m
The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
1. Inside the grass patch 4, lily lowers are planted to make a 1.25 m wide bed. The length of the bed is same as the length of the patch. What is the area (in m² covered by lillies)?
A. 88.125
B. 150.625
C. 243.5
D. 8645.875
2. Swings are installed for kids at the centre of grass patch 3. The area reserved for the swings is square in shape with a width of 40 m. What is the remaining area of grass patch 3 after the swing installation?
3. One room in Joseph’s house has a circular glass roof. The diameter of the roof is 2.8 m. What is the area of the glass roof?
4. The circular frame of the glass roof is made of wire. What is the length of the wire?
A. 6.16 m
B. 8.8 m
C. 17.6 m
D. 12.32 m
Shazli took a wire of length $44\ cm$ and bent int\o the shape of a circle. Find the radius of that circle. Also, find the area. Of the same wire is bent into the shape of a square, what will be the length of each of its side? Which figure encloses more area, the circle or the square$?\ ($Take $\pi= \frac{22}{7})$
View full solution →From a circular sheet of radius $4 \ cm,$ a circle of radius $3\ cm$ is removed. Find the area of the remaining sheet. $($Take $ \pi = 3.14)$
View full solution →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 cost $₹ 4$ per meter. $($Take $\pi= \frac{22}{7})$
View full solution →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 of this path$? ($Take $\pi = 3.14)$
View full solution →From a circular card sheet of radius $14 \ cm,$ two circles of radius $3.5 \ cm$ and a rectangle of length $3\ \ cm$ and breadth $1 \ cm$ are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. $($Take $\pi = \frac{22}{7})$
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