All tangents to the circle are congruent and form a square. the perimeter of square aceg is 24 cm. a circle is inscribed in squa

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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 squa

re 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

Mathematics

1 answer:

NemiM [27] · Answer 1 · 2023-03-14T10:10:26+03:00

The length of line segment bc is 3 cm. Thus, the correct option is B.

<h3>What is a perimeter?</h3>

Perimeter is the sum of the length of the sides used to make the given figure.

Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.

Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.

BC = AC /2 = 6cm /2 = 3 cm

Hence, the length of line segment bc is 3 cm. Thus, the correct option is B.

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