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Question

How many arcs are drawn while constructing 30 angle using a compass


Your Answer
A
2
Your Answer
B
3
Correct Answer
C
4
Your Answer
D
6

Solution

The correct option is B 4

Draw a line ‘l’ and mark a point ‘O’ on it.

(i) With ‘O’ as center draw an arc of any radius to cut the line at A.

(ii) With the same radius and A as center draw an arc to cut the previous arc at B.

(iii) Join OB. We get the required angle ∠AOB = 60°.

Bisect it to get 30° angle.

With ‘A’ as center, draw an arc of radius more than half of AB in the interior of ∠AOB.
With the same radius and with B as center draw an arc to cut the previous one at C.
Join OC.
We get the required angle ∠AOC  =  30°.

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