Question

Question 19
Given the arc length of arc EF, find the radius of the circle. Round to the nearest tenth.
E
9.5 ft
120° G
F
The length of the radius is
inches.
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Answer 1

Given that the length of the arc of the circle is, 9.5 ft, thus, the radius of the circle would be: 4.5 ft.

What is the Length of an Arc?

Length of arc of a circle = ∅/360 × 2πr

Radius = r.

Given:

∅ = 120°

Length of arc = 9.5 ft

Radius (r) = ?

Thus:

9.5 = 120/360 × 2× 3.14 × r

9.5 = 2.09r

r = 9.5/2.09

r = 4.5 ft

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