Question

5. Each polygon circumscribes a circle. Find the perimeter.

1.9 in.

3.7 in.

in

3.6 in.

A) 14.2 in

B) 16.8 in

C) 18.2 in

D) 20.1 in

Answer 1

See the diagram of the circumscribed polygon attached below:

Answer:

A. 14.2 in.

Explanation:

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g

Let's find g.

a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)

b = 3.4 - 1.9 = 1.5 in.

b = c = 1.5 in. (Tangents drawn from an external point)

d = 3.6 - 1.5 = 2.1 in.

d = e = 2.1 in. (Tangents drawn from an external point)

f = 3.7 - 2.1 = 1.6 in.

f = g = 1.6 in. (Tangents drawn from an external point)

✔️Therefore,

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.