How To Draw An Arc With A Compass

Construction of Angles by using Compass

In construction of angles by using compass we will learn how to construct different angles with the help of ruler and compass.

1. Construction of an Angle of sixty° past using Compass

(i) Draw a ray OA.

(ii) With O as centre and any suitable radius draw an arc above OA cut information technology at a betoken B.

(iii) With B as centre and the aforementioned radius as before, depict another arc to cut the previous arc at C.

(four) Join OC and produce information technology to D.

ii. Construction of an Bending of 120° by using Compass

(i) Draw a ray OA.

(2) With O equally centre and whatsoever suitable radius draw an arc cutting OA at B.

(iii) With B as centre and the same radius cut the arc at C, and so with C as centre and same radius cut the arc at D. Join OD and produce it to E.

3. Structure of an Angle of 30° by using Compass

(i) Construction an angle ∠AOD = 60° as shown.

(ii) Draw the bisector OE of ∠AOD.

4. Construction of an Angle of 90° by using Compass

(i) Take any ray OA.

(ii) With O as eye and any convenient radius, draw an arc cutting OA at B.

(iii) With B equally centre and the same radius, depict an cut the beginning arc at C.

(iv) With C as centre and the same radius, cut off an arc cutting over again the first arc at D.

(v) With C and D as centre and radius of more than half of CD, depict two arcs cutting each other at Due east, bring together OE.

five. Construction of an Angle of 75° by using Compass

(i) Take a ray OA.

(ii) With O every bit centre and any convenient radius, depict an arc cut OA at C.

(three) With C every bit centre and the aforementioned radius, draw an cutting the first arc at Thou.

(iv) With M as centre and the same radius, cut off an arc cut over again the offset arc at Fifty.

(v) With 50 and M as heart and radius of more than than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.

(vi) Now with N and M as centres again draw two arcs cut each other at P.

(vii) Bring together OP.

vi. Construction of an Angle of 105° past using Compass

(i) Afterward making 90° bending take Fifty and N as centre and draw two arcs cutting each other at S.

(ii) Join SO.

vii. Structure of an Angle of 135° by using Compass

Footstep of Construction:

(i) Construct ∠AOD = 90°

(2) Produce ∠AO to B.

(iii) Draw OE to bifurcate ∠DOB.

∠DOE = 45°

∠EOA = 45° + 90° = 135°

8. Construction of an Angle of 150° past using Compass

(i) Construct ∠AOC = 120°

(2) Produce ∠AO to B.

(iii) Draw OD to bisect ∠COB.

Now ∠COD = thirty°

Therefore, ∠AOD = 120° + 30° = 150°

● Bending.

Interior and Exterior of an Bending.

Measuring an Angle by a Protractor.

Types of Angles.

Pairs of Angles.

Bisecting an angle.

Construction of Angles by using Compass.

Worksheet on Angles.

Geometry Practice Test on angles.

Didn't find what you were looking for? Or desire to know more data about Math Only Math. Use this Google Search to find what you demand.

Source: https://www.math-only-math.com/construction-of-angles-by-using-compass.html

Posted by: edwardswiging.blogspot.com

Share this post