30 Degree Angle
A 30-degree angle is an acute angle. An angle is formed when two lines meet or intersect at a point. An acute angle is one in which the measure of the angle is less than 90 degrees. When a 60-degree angle is bisected we get two angles, each measuring 30 degrees. Let us learn about a 30-degree angle, the steps for construction, and some real-life examples of 30 degrees.
|1.||What is a 30-Degree Angle?|
|2.||Constructing 30-Degree Angle Using Protractor|
|3.||Construction of 30-Degree Angle Using a Compass|
|4.||30-Degree Angles in Real Life|
|5.||30-Degree Angle Examples|
|7.||FAQs on 30-Degree Angle|
What is a 30-Degree Angle?
If the measure of the angle formed by two rays is 30 degrees, then the angle is called a 30-degree angle. The angle formed by the ray OA and OB is written as ∠AOB or ∠BOA.
Constructing 30-Degree Angle Using Protractor
In this section, let us explore how to construct a 30-degree angle with the help of a protractor. Follow the given steps:
Step 1: Draw a line segment OA.
Step 2: Place the center tip of the protractor at point O such that the protractor perfectly aligns with line AO.
Step 3: Start from 'A' on the protractor in the clockwise direction and stop at 30. Mark it as point 'D'. If point 'A' lies to the right of 'O', then start measuring anticlockwise and stop at 30.
Step 4: Join the point 'D' with 'O'. The ∠AOD=30° is the required angle.
Construction of 30 Degrees Using Compass
An angle of 30 degrees can also be constructed using a compass. Now let us see how to construct a 30-degree angle using a compass, ruler, and a pencil. Follow the steps given below:
- Draw a ray AB. With A as the center and a suitable radius on the compass draw a semicircular arc such that it touches the line segment AB at a point C.
- With C as the center and without any change in the radius draw an arc that cuts the semicircular arc at a point D.
- With C and D as the center, draw two arcs that intersect each other and label it as E.
- Join the points A and E. Here, ∠EAB = 30°
The construction of the angle of 30° using a compass is shown below.
30-Degree Angles in Real Life
The 30-degree angle can be seen in many objects around us. The hands of an analog clock at 1:00 forms an angle of 30 degrees.
A pizza when cut into 12 slices, sometimes makes a 30-degree angle. Sometimes, the scissors we use to cut paper and cloth make a 30-degree angle. Have you ever gone for a cycle ride with your friends and observed that the roads are diverging at some angles. Those angles could be 30-degree angles.
Check out a few interesting questions about a 30-degree angle.
How many 30-degree angles are there in a
a) Straight angle
b) Complete angle
Here are a few important notes about the 30-degree angle.
- Another unit used to measure angles is the radian.
- π radians = 180°
- 30° in radians is π/6.
- The sum of all the angles of a triangle is 180°.
- The 30-degree angle is an acute angle.
Topics Related to 30-Degree Angle
Check out some interesting articles related to the 30-degree angle.
30 Degree Angle & Examples
Example 1: In the △ABC, use a protractor to measure ∠CAB.
Place the protractor's baseline along with line AB and the center of the protractor at vertex A. Observe the reading in the protractor which overlaps with line AC which makes a 30-degree angle.
Example 2: Mathew ordered a large pizza at his home. Sometime later, a few of his friends came to his house. Mathew called the pizza shop and asked them to cut the pizza such that he would get 25% of the pizza and each of his friends would get a piece with a 30-degree angle. If each friend got one piece, how many friends came to Mathew's place?
The pizza is circular; hence the central angle of the pizza is 360°.
Mathew is eating 25% of the pizza.
=25% of 360º
=(1/4) × 360º = 90º
Mathew is eating a piece that has an angle of 90°.
The remaining pizza will be distributed among his friends equally.
360° - 90° = 270°
Now, Mathew's friends will eat 270° pizza. Each pizza slice has an angle of 30 degrees. Therefore, the total number of friends that came to Mathew's house is
The total angle of pizza remaining/Angle of each slice
Therefore, 9 friends came to Mathew's house.
FAQs on 30 Degree Angle
What Type of Angle is 30 Degree Angle?
A 30-degree angle is an acute angle because it is less than 90 degrees.
How do you Draw a 30-degree Angle with a Protractor?
To draw a 30-degree angle using the protractor, follow these steps:
- Step 1: Draw a line segment OA.
- Step 2: Place the center tip of the protractor at point A such that the protractor perfectly aligns with line AO.
- Step 3: Start from 0 on the protractor in the clockwise direction and stop at 30. Mark the point D.
- Step 4: Join point D with A. ∠DAO=30° is the required angle.
How Many 30-Degree Angles does it take to Make a Full Turn?
A full turn is 360°. Since 30 ×12 = 360, therefore there are twelve 30-degree angles in a full turn.
How Many 30-Degree Angles are there in a 30-60-90 Triangle?
A 30-60-90 triangle is a triangle in which one of the angles measures 30-degrees. The other two angles measure 60 degrees and 90 degrees each. So, there is only one 30-degree angle in a 30-60-90 triangle.
How Many 30 Degree Angles are there in a Straight Angle and Complete Angle?
In a straight angle which is 180°, there are six 30° angles. This is calculated by dividing 180° by 30°. Similarly, in a complete angle, there are twelve 30° angles. This is calculated by dividing 360° by 30°.