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A circle has a central angle measuring 7pi/10 radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for pi

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apologiabiology
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the intercepted arc or whatnot is


so
a full circle is 2pi radians
so
radiansmeasure/2pi=arclengh/circumfernce


c=2pir
and
radiansmeasureofarc=7pi/10
so
(7pi/10)/2pi=33cm/(2pir)
solve for r
7/20=33/2pir cm

times both sides by r
7r/20=33/2pi
times both sides by 20/7
r=660/14pi
r=15.013648771610555050045495905369
round
r=15
so about 15cm is the radius
abidemiokin

The  length of the radius of the circle is 15cm

Length of an arc

The formula for calculating the length of an arc is expressed as

  • [tex]L = r \theta[/tex]

Given the following parameters:

L =33cm

[tex]\theta = \frac{7 pi}{10} rad [/tex]

Substitute into the formula to have:

[tex]33 = \frac{7 \pi}{10} r\\ 7 \pi r = 330\\ r =\frac{330}{7 \pi} \\ r = 15.01cm[/tex]

Hence the  length of the radius of the circle is 15cm

Learn more on length of an arc here: https://brainly.com/question/2005046

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