Question

7. If VS = 12 meters, find the length of UT.
=
R
127°
V
S
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W
loonsleder
U
T

Answer 1

The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.

What is the Length of an Arc?

Length of arc = ∅/360 × 2πr

Given the following:

Radius = 1/2(VS) = 1/2(12) = 6 meters

∅ = 90 - (180 - 127) = 37°

Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters

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