Perimeter and Area Test

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Perimeter and Area Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Find the area of a ring whose outer and inner radii are $$19\ cm$$ and $$16\ cm$$ respectively.

A
$$330\ cm^2$$

B
$$310\ cm^2$$

C
$$320\ cm^2$$

D
$$350\ cm^2$$

Solution

Let us given $$R = 19 $$ $$cm $$ & $$r = 16$$ $$cm $$
Area of outer circle $$=\pi{(19)}^2$$
$$=\cfrac{22}{7}\times 361$$
Area of inner circle $$=\pi{(16)}^2$$
$$=\cfrac{22}{7}\times 256$$
$$\therefore$$ area of the ring $$=\dfrac{22}{7}\times 361-\dfrac{22}{7}\times 256$$
$$=\cfrac{22}{7}(361-256)$$
$$=\cfrac{22}{7}(105)$$
$$=330\ cm^2$$
Question 2
1 / -0

The circumference of a circular field is $$308 m$$. Find its radius in metres.

A
$$49$$m

B
$$59$$m

C
$$91$$m

D
$$94$$m

Solution

The circumference of a circular field is $$308m$$
Therefore, $$2\pi r=308$$
$$\Rightarrow r=\cfrac{308\times 7}{2\times 22}$$
$$\Rightarrow r=49m$$
Question 3
1 / -0

The total boundary length of circle is called

A
area

B
volume

C
circumference

D
diameter

Solution

Boundary length of circle is called circumference
Question 4
1 / -0

Find the missing length of the following figure.

A
$$6\text{ cm}$$

B
$$4\text{ cm}$$

C
$$2\text{ cm}$$

D
$$5\text{ cm}$$

Solution

Let unknown side of the figure is $$x$$
Perimeter $$=$$ sum of all sides of figure
$$23=4+5+8+x$$
$$x=23-17=6\text{ cm}$$.
Question 5
1 / -0

Find the missing length of the figure given below.

A
$$4\text{ cm}$$

B
$$2\text{ cm}$$

C
$$6\text{ cm}$$

D
$$8\text{ cm}$$

Solution

Let unknown side is $$x$$
Perimeter $$=$$ sum of length.
$$20=6+4+8+x$$
$$x=20-18=2\text{ cm}$$
Question 6
1 / -0

A circle is inscribed in a square as shown below. If the radius of the circle is $$4$$ cm, then the perimeter of the square is ______

A
$$28$$ cm

B
$$24$$ cm

C
$$32$$ cm

D
$$36$$ cm

Solution

From the fig it is clear that,
Diameter of the circle $$=$$ side of the square
So length of side of square $$=2\times$$ $$4$$ cm
$$=8$$ cm
$$\therefore$$ perimeter of the square $$=8 + 8 + 8 + 8 $$
$$= 32$$ cm
Question 7
1 / -0

Perimeter of a circle is called as__________

A
Area

B
Circumference

C
Volume

D
None of these

Solution

Perimeter of a circle is equal to its circumference i.e., $$P=2\pi r$$
Question 8
1 / -0

Perimeter of a circle is called as

A
area

B
circumference

C
volume

D
none of these

Solution

Perimeter of a circle is called as circumference.
The formula of circumference is $$2\pi r$$
Option B is correct.
Question 9
1 / -0

Perimeter of a circle is called its

A
radius

B
area

C
diameter

D
none of these

Solution

Perimeter of a circle is called its circumference.
Question 10
1 / -0

The radius of a wheel is $$0.25 m$$. How many rounds will it take to complete the distance of $$11 km$$?

A
$$7000$$

B
$$8000$$

C
$$9000$$

D
$$6000$$

Solution

Distance covered in one round $$=$$ Circumference of wheel
$$\Rightarrow 2\pi r= 2 \times \cfrac{22}{7} \times 0.25 =\cfrac{11}{7}m$$
$$ \displaystyle \therefore $$ Number of rounds to cover $$11 km =\cfrac{\text {Total distance covered}}{\text {Distance covered in one round}}=\cfrac{11\times\:1000}{\frac{11}{7}}=7000$$

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Perimeter and Area Test - 10

Result

Perimeter and Area Test - 10

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SHARING IS CARING

Question 1

$$330\ cm^2$$

$$310\ cm^2$$

$$320\ cm^2$$

$$350\ cm^2$$

Solution

Question 2

$$49$$m

$$59$$m

$$91$$m

$$94$$m

Solution

Question 3

area

volume

circumference

diameter

Solution

Question 4

$$6\text{ cm}$$

$$4\text{ cm}$$

$$2\text{ cm}$$

$$5\text{ cm}$$

Solution

Question 5

$$4\text{ cm}$$

$$2\text{ cm}$$

$$6\text{ cm}$$

$$8\text{ cm}$$

Solution

Question 6

$$28$$ cm

$$24$$ cm

$$32$$ cm

$$36$$ cm

Solution

Question 7

Area

Circumference

Volume

None of these

Solution

Question 8

area

circumference

volume

none of these

Solution

Question 9

radius

area

diameter

none of these

Solution

Question 10

$$7000$$

$$8000$$

$$9000$$

$$6000$$

Solution

User

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