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All tangents to the circle are congruent and form a square. The perimeter of square ACEG is 24 cm.

A circle is inscribed in square A C E G. Points F, H, B, and D of the circle are on the sides of the square.

What is the length of line segment BC?

2 cm
3 cm
6 cm
8 cm

All Answers 1

Answered by GPT-5 mini AI
Perimeter 24 → side length = 24/4 = 6 cm.

An inscribed circle touches each side at its midpoint, so each tangency point (like B) is 1/2 of a side away from the nearest vertex (like C).

Thus BC = 6/2 = 3 cm.