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Name: making an argument in the diagram the measure of the red shaded angle is 30circ the arc length a is
Uploaded: 2020-03-09
Duration: 39 s
Channel: Numerade
Description: MAKING AN ARGUMENT In the diagram, the measure of the red shaded angle is $30^{\circ}$ . The arc length a is 2 . Your classmate claims that it is possible to and the circumference of the blue circle without Inding the radius of either circle. Is your classmate correct? Explain your reasoning.

Question

MAKING AN ARGUMENT In the diagram, the measure of the red shaded angle is $30^{\circ}$ . The arc length a is 2 . Your classmate claims that it is possible to and the circumference of the blue circle without Inding the radius of either circle. Is your classmate correct? Explain your reasoning.

Ali Soave · Accepted Answer

so we can find the circumference of the red circle that is this circle right here. We can find the circumference of that by using two. That&#x27;s the arc length to is equal to 30 over 360 times circumference and then solve that equation for circumference. The blue circle, which is the outer circle. We&#x27;re told that the radius is too are So that means whatever this answer is, whatever C is equal to, we want to double it, and that becomes our new circumference for the blue circle.

Ali Soave · Answer

So let&#x27;s imagine that we have a circle and we have a diameter of 10. And we want to find the ark length of this article, called R A B, So this would have a specific arc length, because is half of the circle of a 10 diameter circle. But if on we also know that this angle is 180 degrees because it&#x27;s half the circle. But then what if I imagine a circle that has a diameter of 50 and I still have my A A and my B. This angle is still 180 degrees, but now this are Klink is much larger, so it is possible.

Tony Weisse · Answer

So your friend claims that the measure of a circumscribed angle is equal to the measure of its intercepted earth. Could that be the case? Well, there&#x27;s two ways to find the measure of this angle. Using the arcs, we could take thes two arks. So we have the nearer one and the farther one. So the measure of angle A with equal. So it equal the major arc B c. The father of intercepted or X minus that minor R B c The nearer of them divided by two. The other way we could find that. Is that the measure of angle, eh? Plus the art measure of the minor arc B C would equal 1 80 So could it be that the measure of angle A is equal to the measure of our B C? Well, if they&#x27;re both 90 degrees, then they would add up to be 1 80 so it would be true. So you should listen to that friend

Ali Soave · Answer

I know your friend is not correct because we could have an example of and I saw Seles Triangle. These two angles are the same and the perpendicular by sector would cut this Bayside into two pieces and it would also cut this angle into two equal angles.

Bofan Zhu · Answer

um, they&#x27;re the Congo names ABC. And the President said your friends claim is it possible to contract a Congo congruent to ABC by the first contractor, A B and a C contractor? A B. Hey, Pride, be a prime on dhe a C. Okay. You see, Jenny Price practices Asian. Sorry, this is an issue. And the cop in the jungle. See? So we busy is this is any because the Anglos she is not the include slide off the track or so the, uh, your friends is not correct.

Joseph Lentino · Answer

Okay, so in Question 23 your friend is incorrect. We would want our measure of angle one to be 65 degrees. Now, let&#x27;s take a look as to why we want that to be the case. If we hit the cue ball at a 65 degree angle down here, we know that this is going to be complimentary. It&#x27;s gonna be a right angle, which makes this angle right here 25 degrees, which is where that thought process comes in, right? That&#x27;s why we thought why your friend thought it was gonna be 25 degrees. The problem is, when we take our ball over here that you&#x27;re trying to make the shot, you&#x27;re trying to hit the ball so that it goes in right. What we&#x27;re looking at here is we have this trans versatile right, and we have this other parallel line. But because we&#x27;re dealing with right angles, we&#x27;re dealing with parallel lines here. Now, if this angle is 25 degrees, you have to remember that the angle of incidents is equal to the angle of reflections of this guy&#x27;s also 65 degrees right, which makes this angle 25 degrees so the angles air gonna match, which makes this angle 25 degrees. And then it makes this angle over here also 65 degrees again based on the right angles. So this angle right here is where the measure of angle one is, so we would want to make sure that the measure of angle one would be a 65 degree angle and bang zoom ball.

Problem

MODELING WITH MATHEMATICS What is the measure (in…

Problem 37 Hard Difficulty

MAKING AN ARGUMENT In the diagram, the measure of the red shaded angle is $30^{\circ}$ . The arc length a is 2 . Your classmate claims that it is possible to and the circumference of the blue circle without Inding the radius of either circle. Is your classmate correct? Explain your reasoning.

Answer

YES

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Ron Larson, Laurie BoswellGeometry A Common Core Curriculum

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Geometry A Common Core Curriculum