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Marina CMI [18]
3 years ago
8

In a circle with a radius of 36 3/5 cm, an arc is intercepted by a central angle of 2π7 radians.

Mathematics
2 answers:
fomenos3 years ago
6 0
32.84 I just took the test
Fantom [35]3 years ago
3 0

Answer:

The arc length is 32.84\ cm    

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

we have

r=36\frac{3}{5}\ cm=\frac{36*5+3}{5}=\frac{183}{5}\ cm

substitute

C=2(3.14)(\frac{183}{5})=229.848\ cm

Remember that

2\pi radians subtends the complete circle of length 229.848\ cm

so

by proportion

Find the arc length by a central angle of 2\pi/7 radians

\frac{229.848}{2\pi}=\frac{x}{2\pi/7}\\ \\x=229.848*(2\pi/7)/(2\pi)\\ \\x=`32.84\ cm

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