Question

What is the angle name for one-fourth revolution?

Answer 1

Hint: Here we have been asked the angle name for one-fourth revolution. Firstly we will write down the total angle for one revolution then as we have been asked the on-fourth revolution angle we will divide the total angle by four. Finally we will solve the obtained value and according to the value we will right its name and get our desired answer.

Complete step by step solution:
We have to find the angle name for one-fourth revolution.
Firstly we know that the angle in one revolution is as follows:
${{360}^{\circ }}$
Now we have to find the value of one-fourth revolution so will divided above value by $4$ as follows:
$\Rightarrow \dfrac{{{360}^{\circ }}}{4}$
$\Rightarrow {{90}^{\circ }}$
We get the angle as ${{90}^{\circ }}$
We know that the name of ${{90}^{\circ }}$ angle is Right-angle.
Hence the angle name for one-fourth revolution is Right-angle.
A revolution or a turn is equal to one rotation around a circle and it is equal to ${{360}^{\circ }}$ . It is most commonly used to measure the speed of rotation. It is often used in the phrase “Revolutions Per Minute” (RPM) which implies how many complete turns occur every minute. It is a synonym for rotation in other fields; it is also referred to as an orbital revolution. For example- The Moon revolves around the Earth and the Earth revolves around the Sun. The movement of the earth around the Sun is a fixed path. Revolution and Rotation are two different things as rotation means the circular movement of an object around a center of rotation. Objects like Earth and Moon rotate around an imaginary line; the line is known as the rotation axis.

Note: ${90^ \circ }$ is a standard angle and is called as a right angle, Angles less than ${90^ \circ }$ are known as acute angle and angles greater than ${90^ \circ }$ and less than ${180^ \circ }$ are known as obtuse angles. The angles that are even greater than ${180^ \circ }$ are known as reflex angles. In radian measure, one revolution consists of $2\pi $ radians. Hence, ${90^ \circ }$ angle is equivalent to $\dfrac{\pi }{2}$ radians.