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# Please I need help! Need this done by today

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1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

2. In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Make sure to show your calculations.

Guest Feb 27, 2018
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#1
+12117
+1

Circumference = pi * d   = pi * 2r = 12pi   cm

there are 2pi radians in a complete circle of which this Q is seekong a fraction

5.4 / 12 pi =  ?/(2 pi)       ? = .9 radians

ElectricPavlov  Feb 27, 2018
#2
+26544
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By definition the angle in radians is simply the arc length divided by the radius.

Alan  Feb 27, 2018
#4
+12117
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Thanx, Alan....good to remember...and simpler!

ElectricPavlov  Feb 27, 2018
#3
+12117
+1

There are 2 pi radians in a complete circle

pi x 2r = circumference

pi x 2 x 26.9 =169 cm

fraction of this circumference intercepted by this central angle

?/169 = 9pi/5  /  2pi

?= 152.1 m

ElectricPavlov  Feb 27, 2018
edited by Guest  Feb 27, 2018

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