Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

How many degrees are there in one right angle?

A
$$0^o$$

B
$$180^o$$

C
$$100^o$$

D
None of these

Solution

Right angle $$=90^{\circ}$$
So there are $$90$$ degrees in one right angle.
Hence option $$D$$ is correct.
Question 2
1 / -0

A cylinder has two faces which are ............

A
Square

B
Circle

C
Sphere

D
Triangle

Solution

A cylinder has two circular faces.
Question 3
1 / -0

A circular paper is divided into $$4$$ equal parts by cutting it through two diameters. Then the central angle of each part is equal to:

A
$$45^\circ$$

B
$$90^\circ$$

C
$$60^\circ$$

D
$$30^\circ$$

Solution

Central angle $$=360^{\circ}$$
Now circular piece of paper is divided in four equal parts .
Let measure of central angle $$=x$$
$$\\ \Rightarrow x+x+x+x={ 360 }^{ \circ }\\ \Rightarrow 4x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 4 } \\ \Rightarrow x={ 90 }^{ \circ }$$
So option $$B$$ is correct.
Question 4
1 / -0

In a triangle $$ABC$$, $$AB=AC$$, then $$\triangle ABC$$ is a/an ............ triangle.

A
right angled

B
equilateral

C
isosceles

D
scalene

Solution

Given,
In $$\triangle ABC, AB = AC$$

We know, if two sides of a triangle are equal then the triangle is an isosceles triangle.

Thus, $$\triangle ABC$$ is an isosceles triangle.

Hence, option $$C$$ is correct.
Question 5
1 / -0

Let's divide a circle into $$10$$ equal parts. Then, the measure of each central angle of a circle is :

A
$$18^{o}$$

B
$$72^{o}$$

C
$$36^{o}$$

D
$$30^{o}$$

Solution

Since, circle divides in 10 equal parts, total measure angle at centre $$=360°$$.
So, each central angle after division is $$=\cfrac{360°}{10}=36°$$
Question 6
1 / -0

The central angle of each part is:

A
$$60^\circ$$

B
$$30^\circ$$

C
$$45^\circ$$

D
$$90^\circ$$

Solution

You can clearly see the circle is divided into $$12$$ equal parts.
Total Central angle $$=360^{\circ}$$
Let measure of central angle $$=x$$
$$\\ \Rightarrow 12(x)={ 360 }^{ \circ }\\ \Rightarrow 12x={ 360 }^{ \circ }\\ \Rightarrow x=\dfrac { { 360 }^{ \circ } }{ 12 } \\ \Rightarrow x={ 30 }^{ \circ }$$
So option $$B$$ is correct.
Question 7
1 / -0

The central angle of a part of a circle which is divided into $$6$$ equal parts is:

A
$$60^\circ$$

B
$$30^\circ$$

C
$$45^\circ$$

D
$$90^\circ$$

Solution

Central angle $$=360^{\circ}$$
Now park is divided in four equal parts.

Let measure of central angle $$=x^o$$
$$\\ x+x+x+x+x+x={ 360 }^{ \circ }\\ 6x={ 360 }^{ \circ }\\ x=\dfrac { { 360 }^{ \circ } }{ 6 } \\ \Rightarrow x={ 60 }^{ \circ }$$

So option $$A$$ is correct.
Question 8
1 / -0

Danish drew an angle as shown here. Manish drew an angle that was twice the measure of Danish's angle. What was the measure of Manish's angle?

A
$$20^o$$

B
$$70^o$$

C
$$80^o$$

D
$$60^o$$

Solution

Measure of angle drawn by Danish $$=40^o$$
$$\therefore$$ Measure of angle drawn by Danish $$=2\times 40^o=80^o$$.
Question 9
1 / -0

There are six angles, How many of them are greater than a right angle?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Figure $$A$$, Figure $$B$$ and Figure $$C$$ are the angles which are greater thaan right angle.
Hence the correct answer is option C
Question 10
1 / -0

Which type of angle best describes angle Q?

A
Obtuse

B
Acute

C
Right

D
Straight

Solution

Measure of angle $$Q$$ is more thaan $$90^o$$ but less than $$180^o$$.
Hence the $$\angle Q$$ is an obtuse angle.