An awning is in the form of an arc 6 inches high and 72 inches wide. Find the radius of the circle containing the arc.

Mathematics

1 answer:

Ainat [17]2 years ago

3 0

Answer:

111 in

Step-by-step explanation:

Let the remainder of the diameter is x.

Use the intersecting chords theorem:

6*x = (72/2)*(72/2)
6x = 1296
x = 216

The diameter:

d = 6 + x = 6 + 216 = 222 in

The radius:

r = 222/2 = 111 in

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