Shapes and Angles Test 5

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Shapes and Angles Test 5

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Weekly Quiz Competition

Question 1
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 2
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 3
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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 4
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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 5
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 6
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.
Question 7
1 / -0

The clock shows the time in the morning. Then, angle represents _________ angle.

A
Acute

B
Obtuse

C
Reflex

D
Straight

Solution

Any angle which is larger than $$180^o$$ but smaller than $$360^o$$ is called as a reflex angle.
Here, the angle shown is larger than $$180^o$$ but smaller than $$360^o$$.
Hence, it is a reflex angle.
Therefore, option $$C$$ is correct.
Question 8
1 / -0

An angle which measures more than $$90^o$$ but less than $$180^o$$ is called ___________.

A
Acute

B
Obtuse

C
Right

D
None of these

Solution

An angle which measures more than $$90^o$$ but less than $$180^o$$ is called as an obtuse angle.
Question 9
1 / -0

What is the approximate measure of this angle in degrees?

A
$$20^o$$

B
$$45^o$$

C
$$110^o$$

D
$$135^o$$

Solution

The given angle is a acute angle, so option D and option C is not correct
The approximate value of above angle is $$45^o$$, as the angle of $$20^o$$ would be very small than the given angle
Hence the correct answer is option B.
Question 10
1 / -0

Which of the following is greater than a right angle?

A

B

C

D

Solution

Option $$A$$- Angle shown is a right angle
Option $$B$$-Angle shown is a acute angle
Option $$C$$-Angle shown is a acute angle
Option $$D$$-Angle shown is an obtuse angle.
Hence option $$D$$ is the correct answer