Consider a regular hexagon inscribed in circle c with radius r. Regular hexagons have six congruent sides and six congruent angles. In the figure, angle cab measures 60°. What is m∠acb? ° what is the length of segment ab? what is the perimeter of the hexagon? the perimeter of the hexagon is the circumference of the circle. The circumference of the circle is

Consider a regular hexagon inscribed in circle C with radius r. Regular hexagons have six congruent sides and six congruent angles. In the figure, angle CAB measures 60°.

What is m∠ACB?

✔ 60

°

What is the length of segment AB?

✔ r

What is the perimeter of the hexagon?

✔ 6r

The perimeter of the hexagon is

✔ slightly less than

the circumference of the circle.

The circumference of the circle is

✔ slightly greater than 6r

Explanation:

Lanuel Lanuel · Answer 2 · 2022-03-23T22:13:29+01:00

Based on the information given, angle ACB is equal to 60°.

Given the following data:

Angle CAB = 60°

How to calculate m∠ACB.

Form the diagram, we can deduce that CA is equal to CB and it is the radius of the circle. Therfore, ∠CAB = ∠ACB = 60°.

Since the triangle is an equilateral triangle, the length of segment AB is equal to the radius of the circle because all the sides of an equilateral triangle are equal.

Also, since one of the six (6) arcs of the hexagon is measured as radius (r), then its perimeter is equal to 6r.

Furthermore, the perimeter of the hexagon is slightly less than the circumference of the circle because the circumference is longer.

In conclusion, the circumference of the circle is slightly greater than 6r.

Read more on circumference here: brainly.com/question/14478195