What is a 45-degree Angle?
A 45-degree is a common angle measurement that divides a right angle (90 degrees) exactly in half. A 45-degree angle is a type of angle that measures 45°
Simple ways to understand what 45 degree Angle is are as follows:
- Visually: Imagine a square. The diagonal line from one corner to the opposite corner cuts the square exactly in half, creating two 45-degree angles.
- Units: Degrees are units used to measure angles. A circle can be divided into 360 degrees, so a 45-degree angle is 45/360 (= 1/4) of a complete circle.
Note: A 45-degree angle equals approximately π/4 radians.
45-Degree Angle Definition
A 45-degree angle is an acute angle that is exactly half of a right angle (90 degrees).
Dividing a Right Angle: An angle bisector of a 90-degree angle forms two equal angles, each measuring 45 degrees.
45 Degree Angle: Construction and Examples
45-degree angle is a fundamental concept in geometry and trigonometry. An angle is a form of geometrical shape constructed by joining two rays to each other at their endpoints. The two lines joined together are called the arms of the angle.
A 45-degree angle is exactly half of a right angle, which measures 90 degrees. Two 45-degree angles placed together form a right angle. In degrees, a 45-degree angle is 45/360 of a complete circle since its measure is between 0 and 90 degrees, a 45-degree angle is classified as an acute angle.
In this article, we will learn about, a 45-degree angle, how to draw a 45-degree angle using a compass and protractor, the properties of a 45-degree angle trigonometric values of a 45-degree angle and others in detail.
Table of Content
- What is the 45-degree angle?
- How to draw 45 degrees Angle using Compass
- How to draw 45 degrees Angle using Protractor
- Properties of 45-degree Angle
- Trigonometric values of 45 degree
- Solved examples on 45-degree Angle
- 45 degree Angle – FAQs
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