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4vir4ik [10]
3 years ago
9

Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent. Round to the nearest tenth if neces

sary.

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

The perimeter of the polygon is 53.6 units.

Solution:

The reference image to the answer is attached below.

AP = 8, BQ = 7.8 and CR = 11

AP and AR are tangents to a circle from an external point A.

BP and BA are tangents to a circle from an external point B.

CQ and CR are tangents to a circle from an external point C.

<em>Tangents drawn from an external point to a circle are equal in length.</em>

⇒ AP = AR, BP = BQ and CQ = CR

AR = 8

BP = BQ

⇒ BP = 7.8

CQ = CR

⇒ CQ = 11

Perimeter of the polygon = AP + BP + BQ + CQ + CR + AR

                                          = 8 + 7.8 + 7.8 + 11 + 11 + 8

                                          = 53.6

The perimeter of the polygon is 53.6 units.

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