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ASAP HELP HIGH POINTS

The polygon circumscribes a circle. What is the perimeter of the​ polygon?
the perimeter of the polygon is__cm.

ASAP HELP HIGH POINTS The polygon circumscribes a circle. What is the perimeter of-example-1
User Jonmeyer
by
3.8k points

2 Answers

10 votes

Answer:

62 cm

Explanation:

As the polygon circumscribes the circle, the missing side lengths are equal to the lengths of the line which come from the same external point.

Perimeter

  • 2(5 + 6 + 13 + 7)
  • 2(31)
  • 62 cm
User Darran L
by
3.4k points
10 votes

Answer:

62 cm

Explanation:

Two-Tangent Theorem

If two tangents to a circle meet at one exterior point, the tangent segments are congruent.

We have been given the length of one of each pair of congruent tangent segments. Therefore, the total perimeter of the polygon is:

Perimeter = 2(6 + 13 + 7 + 5)

= 2(31)

= 62 cm

(please see the attached diagram)

ASAP HELP HIGH POINTS The polygon circumscribes a circle. What is the perimeter of-example-1
User Shehabul Alam
by
3.4k points