Then, we place the midpoint of the protractor at point A.Now, we place the protractor on the line segment AB.We draw a line segment AB of any suitable length.For example, we can construct an angle of 60° using a protractor by following the steps given below. How to Construct an Angle with a Protractor?Īny angle between 0° and 180° can be easily constructed using a protractor. Now ∠FAB is a right angle that measures 90 degrees. With D and E as the centers and the same radius, draw two arcs intersecting at a point F.With D as the center and with the same radius, draw an arc such that it cuts the arc at E.Now, with C as the center and with the same radius as in the previous step, draw an arc intersecting the previously drawn arc at D.Draw a line segment AB and with A as the center and any radius, draw an arc such that it cuts AB at point C.To construct a right angle, follow the steps given below: How to Construct a Right Angle?Ī right angle is an angle whose measure is equal to 90 degrees. This is considered to be the "pure" form of geometric constructions. The construction of angles refers to constructing different angles such as 30°,45°, 60°,90° using a compass, protractor, ruler, and a pencil. Now ∠RAB and ∠FAR are equal to 45° each.Ĭheck out some interesting articles related to the construction of angles.įAQs on Construction of Angles What is Construction of Angles? Mark the point of intersection of these arcs as R. Step 8: Now with the same radius taken to draw an arc in step 2, draw two arcs with P and Q as centers.Step 7: Label the point of intersection of the semicircular arc with the line AF as P.This line is called the perpendicular line and it makes 90 degrees with the line segment AB. Step 5: Now, with the same radius and with E and D as centers draw arcs that intersect each other at a point and label it as F.Step 4: Repeat the same process with D as the center and label the arc drawn as E.Step 3: Without any change in radius, draw another arc with Q as the center and label this point as D.Step 2: With A as the center and any width as radius draw a semicircular arc that touches the line segment AB and mark it as Q.In the steps shown below we will be constructing an angle of 90° and then construct an angle bisector to bisect the 90° such that we will get an angle of 45°. Let us learn how to construct an angle with a compass and a ruler. This project and more like it are featured in Liz’s new book STEAM Lab for Kids: 52 Creative Hands-On Projects Using Science, Technology, Engineering, Art and Math (Quarry Books, spring 2018).Constructing Angles with Compass and Ruler MORE: 3 Ways a Cardboard Box Can Encourage STEM and STEAM LearningĪncient Greek mathematicians draw angles and geometric figures using only a compass and a straight edge, which is a ruler without markings. Today, computers are used for most of the precision drawing done by mathematicians, engineers, and architects. You can also pull the string straight and use it to draw a hopscotch grid. Have one person stand in the middle, holding the string, tie the chalk to the other end, and draw a giant circle. Make a giant compass in the driveway using a string (or jump rope) and a piece of chalk. ![]() Step 7: Let him create another masterpiece using math tools. Step 6: Now, ask your child to turn the lines and shapes they created into a piece of art, using markers, paint, and anything else she can think of.
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