Question

9. A regular polygon is inscribed in a circle. If a side subtends an angle of 45° at the center, the number of its sides would be (a) 6 (b) 8 (c) 10 (d) 12​

Answer 1

Correct option is D) 12

For a polygon of 'n' sides, the angle subtended at the centre is 360°/x

Given, angle at the centre =30°

360°/n=30°

n=12

Hence, the polygon has 12 sides.

Hope it will help you..