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In circle R with m∠QRS=30 and QR=17 units, find the length of arc QS. Round to the nearest hundredth.

In circle R with m∠QRS=30 and QR=17 units, find the length of arc QS. Round to the-example-1

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Answer:

Length of arc = 8.90 unit (Approx.)

Explanation:

Given:

Radius of circle = 17 units

∠QRS = 30°

Find:

Length of arc

Computation:

Length of arc = [θ/360][2πr]

Length of arc = [30/360][2(22/7)(17)]

Length of arc = [1/12][2(3.14)(17)]

Length of arc = [0.0833][3.14(34)]

Length of arc = [0.0833][106.76]

Length of arc = 8.8963

Length of arc = 8.90 unit (Approx.)

User Andrei Astrouski
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