Question

A circle centered at O and of radius 3 cm is divided into six equal parts as shown in the figure below.

If A is joined to C, C is joined to E and E is joined to A, then the 2D shape so obtained is ________.

• A. a star
• B. an equilateral triangle
• C. a regular hexagon
• D. an isosceles triangle

Answer 1

The correct option is B

an equilateral triangle

Draw a circle with radius 3 cm and divide it into six equal parts.

Then join point A to point C, point C to point E and point E to point A.

Now, by measuring the lengths of sides AC, CE and AE, we see that AC = CE = AE = 5.1 cm.

Hence, the 2D shape so obtained inside the circle is an equilateral triangle.