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ajAlyssilourtormy
ajAlyssilourtormy ajAlyssilourtormy
  • 18-05-2016
  • Mathematics
Answered

Consider circle H with a 3 centimeter radius. If the length of minor arc RS is

5/2π, what is the measure of ∠RST? Assume that chords RS and TS are congruent.

Verified Answer :

meerkat18
meerkat18 meerkat18
  • 25-05-2016

Given:
Radius = 3 cm
length of minor arc = 5/2π

length of the minor arc = 2 π r (x/360°)
5/2π = 2 π r (x/360°)
5/2 3.14 = 2 3.14 3 (x/360°)
5/6.28 = 18.84 (x/360°)
6.28(5/6.28) = 6.28(18.84)(x/360°)
5
360° = 118.32x
1800 / 118.32 = x
15.21 = x

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