IPMAT Indore 2025 (MCQ) - Area of a regular octagon inscribed in a circle of radius 1 unit is: | PYQs + Solutions

IPMAT Indore 2025

Geometry

Polygons

Easy

Area of a regular octagon inscribed in a circle of radius 1 unit is:

2\sqrt{2}

2 + \sqrt{2}

\frac{9}{2\sqrt{2}}

\sqrt{10}

✅ Correct Option: 1

This is a regular octagon (all sides of the octagon are same) inscribed in a circle.

We can solve this easily by eliminating options:

Area of circle (

r = 1

unit) is

3.14

units square.

Option 1

= 2\times 1.4 = 2.8

Option 2

= 2 + 1.4 = 3.4

Option 3

= \frac{9}{2.8} = ~3.2

Option 4

= \sqrt{10} = 3.16

-> (Use the calculator if needed)

Only one option is less than the circle itself (because the octagon is inscribed within it).

Hence, option 1 becomes the answer.