Question

How many degrees are in an angle that turns through 1/4 of a circle?

Answer 1

The amount of degrees in a turn that is 1/4 of a circle is 360 degrees.

Step-by-step explanation:

• This is a lot of degrees, but it’s only 1/4 of the total number of degrees in a full circle. The other three-fourths of a circle have 360 degrees in them, too. They’re just cut short at the end so that the angle is only 1/4 of a circle.
• The angle of a right angle is 90 degrees. The next two angles are 45 degrees each, and the next two angles are also 45 degrees each. The angle on the end is 0 degrees.
• The angle cut off at the end of a circle is called a “turn.” It’s the shortest distance between two points on a circle.
• The other half of a circle is the “part” of the circle. It’s the part of the circle that’s between the end of the “turn” and the center of the circle. The part of the circle is half of a full circle. It has 360 degrees in it.
• The opposite of a turn is a straight line. The shortest distance between two points on a circle is a straight line. In other words, a turn is an angle that’s cut off at the end of a circle. The name “turn” comes from the old days when maps had to be circular.

Answer 2

A circle measures $360$°.

Each point is one degree, i.e., $\frac{1}{360}$ of circle.

Divide by $\frac{1}{4}$ per part.

Angle in one-forth part of circle

$=\frac{\frac{1}{4} }{\frac{1}{360} }=\frac{360}{4}=90$