5

. There exists a circle with a radius of 5cm. Given an anglefrom the 3 o’clock position rotated counterclockwise whose terminalpoint is in the second quadran...

Question

. There exists a circle with a radius of 5cm. Given an anglefrom the 3 o’clock position rotated counterclockwise whose terminalpoint is in the second quadrant and 𝑟𝑐𝑜𝑠(𝜃) = −3 cm, find𝜃.

. There exists a circle with a radius of 5cm. Given an angle from the 3 o’clock position rotated counterclockwise whose terminal point is in the second quadrant and 𝑟𝑐𝑜𝑠(𝜃) = −3 cm, find 𝜃.



Answers

Circular Arcs Find the length $s$ of the circular arc, radius $r$ of the circle, or the central angle $\theta,$ as indicated.
Find the length $s$ of the arc that subtends a central angle of measure 3 rad in a circle of radius 5 $\mathrm{cm} .$

All right, We're trying to find our arc length, which is us. And we know our equation is our cling equals radius times our angle theta. We're given our radius and angles. We can just plug these into our equation. We know that our radios is five centimeters and our angle is three raid ends. So from there we can just multiply these together. RS equals 15 centimeters.

In this question, we have to find the Radian measure off angle. Tita, If Twitter is the central angle in a circle off radius R and Twitter cuts off an arc off length us. Now we know that in a circle, if a central angle Teuta guts off an ark off land, as then the measures off Trita ingredients is equal toe s divide by our where r is equal to radius off the given circle. We use this method to find out the value off radiant. Now we have given s is equal to nine centimeter and R is equal to three centimeters. It means Tita is equal to nine, divided by three. And this is equal to three. So the radiant, miserable Tita is three Raelian? No, the answer is t Iranian.

Century and they don't. In Radian measure is given by the formula di Quinto gestated by art but find they don't substitute the long values voters they die going to trader by poking injured by traders by four Taking the reciprocal of the denominator Didn't want applying it. We kept looking into or by three we can cancel out this dream We get in a fight for King on simplifying this we get to buy seven. Oh, indiscipline, Addition. We can drive this purse Zito went to 86

We need to find the measure of the central angle and radiance given the arc length and the given radius. Both units are in the same same so we don't need to do any converting. So we have circumference is equal to two pi R Times data divided by two pi. So we plug in what we have so we have 3/14 is equal to two pi times 3/4 Times data divided by two pi. We cancel out our pie, We cancel out our two and we're left with 3/14 is equal to 3/4 times data. So we multiply by four So we get 12/14 is equal to three data. Then we divide both sides by three so we get for over 14 is equal to data and that reduces to two over To over seven. Radiance is a measure of data.


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