Perimeter and Area Test

Result

Perimeter and Area Test - 14

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The distance, once around the circle is called

A
diameter

B
center

C
circumference

D
chord

Solution

The distance around the circle is called circumference.
Example:
Question 2
1 / -0

If the radius of a circle is $$\dfrac{7}{\sqrt{\pi}}$$, what is the area of the circle (in $$cm^2$$)?

A
$$154$$

B
$$\dfrac{49}{\pi}$$

C
$$22$$

D
$$49$$

Solution

Given: Radius of circle $$(r)=\dfrac{7}{\sqrt{\pi}}$$
Area of the circle $$=\pi (r)^2$$
$$=\pi\times (\dfrac{7}{\sqrt{\pi}})^2$$
$$=\pi\times \dfrac{49}{\pi}$$
$$=49 cm^2$$
Question 3
1 / -0

Find the area of the triangle shown in figure.

A
$$20$$

B
$$30$$

C
$$35$$

D
$$40$$

Solution

We know, area of a triangle $$A=\dfrac{1}{2}\times b\times h$$,

where $$b$$ is the length of the base and $$h$$ is the height.

In the figure, the base of the right-angled triangle is 8 and the height is 5.

$$\therefore$$ Area $$=\dfrac{1}{2}\times 8\times 5$$

$$=20$$
Question 4
1 / -0

The circumference of the circle is the boundary of t he

A
perimeter

B
radius

C
diameter

D
circle

Solution

The circumference of the circle is the distance around by the circle.
Question 5
1 / -0

The circumference of the circle is calculated by the formula

A
$$4\pi r$$

B
$$2\pi r^2$$

C
$$3\pi r$$

D
none of these

Solution

The circumference of the circle is calculated by the formula $$2\pi r$$, where $$r$$ is radius of the circle.
Question 6
1 / -0

The dotted line represents the

A
center

B
diameter

C
circumference

D
chord

Solution

As the circumference of a circle is the distance around by the circle, the dotted line represents the circumference.
Question 7
1 / -0

In which figure circumference of the circle is shown in green?

A
figure 2

B
figure 3

C
figure 1

D
figure 4

Solution

Circumference of the circle is the distance around by the circle.
So, figure 2 is the circumference of the circle shown in green.
Question 8
1 / -0

Calculate the radius of a circle whose circumference is $$44\ cm$$?

A
$$7\ cm$$.

B
$$14\ cm$$.

C
$$21\ cm$$.

D
None of these

Solution

Given: Circumference of circle $$=44\space\mathrm{cm}$$
$$\Rightarrow 2\pi r=44$$
$$\Rightarrow 2\times\dfrac{22}{7}\times r=44$$
$$\Rightarrow r=44\times\dfrac{1}{2}\times\cfrac{7}{22}$$
$$\Rightarrow r=7\space\mathrm{cm}$$
$$\therefore$$ Radius of circle $$r=7\space\mathrm{cm}$$
Hence, $$\text{A}$$ is the correct option.
Question 9
1 / -0

Consider the railway platform which is in square shape having side length $$2\ km$$. Then area of the platform is $$4$$ ____.

A
$$m$$

B
$$km$$

C
$$km^{2}$$

D
$$m^{2}$$

Solution

Area of square platform$$=2\times 2=4 km^2$$
Question 10
1 / -0

The area of triangle is equal to the area of a rectangle whose length and breadth are $$20\ cm$$ and $$15\ cm$$ respectively. Calculate the height of the triangle if its base measures $$30\ cm$$.

A
$$20\ cm$$.

B
$$30\ cm$$.

C
$$40\ cm$$.

D
None of these

Solution

The length of rectangle $$= 20cm$$
The breadth of rectangle $$= 15cm$$
The area of rectangle $$= l\times b$$
$$ \Rightarrow$$ $$ = 20cm\times 15cm=300cm^2$$
The area of triangle $$= 300cm^2$$
The base of triangle is $$= 30cm$$
By given,
$$\dfrac 12\times 30\times h=300\\\implies h=20cm$$
The height of triangle $$=20cm$$.