Question

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.

Answer 1

• 111 in

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