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Oksi-84 [34.3K]
3 years ago
14

What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0
If radius = 30, the circumference = 2*PI *radius = <span> <span> <span> 188.4955592154 </span> </span> </span> cm
The arc = 18*PI cm = <span> <span> <span> 56.5486677646 </span> </span> </span>
The arc is (<span> 56.5486677646 / </span><span><span>188.4955592154) = one third of the
</span></span><span><span>
</span></span><span><span>circumference and so it subtends a central angle of 120 degrees. 
</span></span><span><span>
</span></span><span><span>
</span></span>
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