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Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of Z radians _Round your answer to two decimal places_Numbermeters...

Question

Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of Z radians _Round your answer to two decimal places_Numbermeters

Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of Z radians _ Round your answer to two decimal places_ Number meters



Answers

Find the length of the arc on a circle of radius $r$ intercepted by a central angle $\theta$. Radius $r$ 14 inches Central Angle $\theta$ $\pi$ radians

Okay, Head. In this case, Rabia's has given well, sentimental and that I lived to utilize given 1 35 degree. All right, we just need to find them. I love s part of the left s here. So first thing first, we just need to convert you. Time to radiance of 1 35 times off by over vanity. This thing's in just a radiant. So that means that this is 52 times 517 times. All right, on this 513 times 516 times. Okay, this is 93 27 9 26 Yes. So we have three pie by four. Really? In as about love, Peter, with the formula that two days equals two R upon Rabia's from here. Because the reality is that this ark that is equals to twitter times radius, substituting their values we have s is equals to three by by four times of this family of our which is too well on this indicting isn't sentiments of four cancers on three points. So this is Claire Kurt, nine, vice and Demeter. That is a valid office. All right,

Four people, but the radius is nine ft and the angle theta is 60 degrees. How can we figure out the ark lack? So I figure that out. We're going to take the radius times that angle measure. But I want that angle measure In radiance, not in degrees. So we're going to go over here and I'm going to convert this to radiant by multiplying the 60 by Pi over 180°.. My degrees are going to cancel. We get data equals 60. Hi over 180. And that reduces down to Pi over three. So as equals the radius, which is nine ft Times Pi over three. So we get S equals nine pi over three ft nine divided by three is three. So we get three pi feet for the ark like.

Problem. We're looking for the Ark link of the Radius of 16 and radiant measure of two. So, uh, the formula is l equals R. Klink equals our time state A worth a dozen readings. We have that already. So this is just 16 times two, so that's 32 centimeters as the or click.

If we're given that the radius of the circle is 12cm and that that central angle is three pi over four radiance, how can we figure out the arc length? How long that peace is there to find that out? We're going to take arc length S. Equals the radius times that central angle photo, so as equals 12 tens three pi over four S equals 12 times three is 36 so we get 36 pi over four, so S equals nine pi meters for the arc line. And if you want this as a decimal, it is approximately 28.27 centimetres.


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