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PLEASE GEOMETRY HELP!! FIND THE LENGTH OF ARC PQR. EXPLAIN PLEASE!! BOGUS ANSWERS REPORTED

PLEASE GEOMETRY HELP!! FIND THE LENGTH OF ARC PQR. EXPLAIN PLEASE!! BOGUS ANSWERS-example-1

1 Answer

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First we need to find the measurement of arc PQ.

And sum of measurement of all arc angles is 360 degree.

Let measurement of arc PQ is x degree.

Therefore, we get


150+73+x+65=360 \\ 288+x =360 \\ x =360-288=72

So measurement of arc PQ is 72.

And measurement of arc PQR is the sum of the measurement of arc PQ and QR.

That is


m \ PQR = 72 +65 = 137

measurement of Arc PQR = 137 degree= 2.39 radian

And radius is 6.48 inches

And arc length is the product of radius and central angle in radians .

That is


PQR= 6.48*2.39=15.5 inches

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