62 Degree Angle

A 62° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 28° more and you get a square corner.

62° is 31/180 of a full circle, or 31π/90 radians. If you face north and turn 62° clockwise, you end up facing between NE and ENE (closest to east-northeast (ENE)).

62° angle facts

Trigonometric values of 62°

62° on a protractor

How to draw a 62° angle with a protractor

1. Draw a straight line with a ruler. This is the first arm; mark the vertex at one end.
2. Place the center mark of the protractor exactly on the vertex and line up the 0° baseline with your line.
3. Find 62° on the row of numbers that reads 0° on your line (protractors have two rows running in opposite directions) and make a small dot at the edge.
4. Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 62°.

Drawing it a 62° angle without a protractor (rise and run method)

1. Draw a straight baseline and measure 5.32 inches (about 5 5/16″) along it from the vertex.
2. At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
3. Join the top mark to the vertex. The angle at the vertex is 62°, because tan 62° ≈ 1.8807.

Where you see 62° angles

• A 23/12 roof pitch is 62.45°, very close to 62°.
• 62° of latitude on Earth spans roughly 4,281 miles north to south.
• The Earth turns 62° on its axis in about 4 h 8 min.
• Narrow acute angles like 62° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.

Related angles

• Complement: 28°
• Supplement: 118°
• Explement: 298°
• Half: 31°
• Double: 124°
• 30°
• 45°
• 60°
• 90°