Question

Steps to inscribe an equilateral triangle in a circle of radius 6 ft (Scale : 1 in = 2 ft) are :

Step 1 : Draw a circle with centre 'O' using radius 3 inch.

Step 2 : Mark point A on the circumference and join AO.

Step 3 : ?

Step 4 : Repeat the process with D as centre to obtain point B and continue the same in the anticlockwise direction to further obtain points E and C.

Step 4 : Join AB, BC and CA.

Identify the missing step.

• A. With A as the center and a radius equal to AO, mark an arc on the circle using a compass and name the point as D.
• B. With A as the center and a radius equal to half of AO, mark an arc on the circle using a compass and name the point as D.
• C. With A as the center and a radius equal to twice of AO, mark an arc on the circle using a compass and name the point as D.
• D. With A as the center and a radius equal to thrice of AO, mark an arc on the circle using a compass and name the point as D.

Answer 1

The correct option is A With A as the center and a radius equal to AO, mark an arc on the circle using a compass and name the point as D.

Step 1: A circle with centre 'O' is drawn with radius 3 inch.

Step 2: Take a random point A on the circumference of the circle.



Step 3: With A as the center and a radius equal of AO, mark an arc on the circle using a compass and name the point as D.


Continue the same process in anti-clockwise direction with D as centre to obtain points B, E and C.



After joining AB, BC and CA, ABC will be the required inscribed equilateral triangle.