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TEA [102]
2 years ago
11

Select the correct answer from the drop-down menu

Mathematics
1 answer:
oee [108]2 years ago
7 0

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{\frac{23}{20}\pi  }{2\pi } ( r is the radius )

given arc = 63.48π , then

2πr × \frac{\frac{23}{20}\pi  }{2\pi } = 63.48π ( cancel 2π on numerator/ denominator )

r × \frac{23}{20} π = 63.48π ( divide both sides by π )

\frac{23r}{20} = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

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