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Mathematics 17 Online
OpenStudy (anonymous):

Can someone help me find the value of b? Geometry help

OpenStudy (anonymous):

What is the value of b? you may assume that the ray is tangent to the circle

OpenStudy (mortonsalt):

When the tangent line meets the circle at that point, what angle does it make with the diameter?

OpenStudy (anonymous):

what do you mean?

OpenStudy (mortonsalt):

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OpenStudy (anonymous):

Well.. uhm a semicircle is 180 so uhmm ... ya. Would that angle be 90?...

OpenStudy (mortonsalt):

A better way to think about is you know that the tangent line would be perpendicular to the diameter. But yes, it is 90-degrees.

OpenStudy (mortonsalt):

You can get a using the theorem I taught you earlier.

OpenStudy (mortonsalt):

WIth that, you can get b.

OpenStudy (mortonsalt):

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OpenStudy (anonymous):

Could you remind again what that theorem was? Would I subract 54 from 90? Sorry usually im not this blonde about these kinds of things lol

OpenStudy (mortonsalt):

a would be equal half of the 54-degree.

OpenStudy (mortonsalt):

Remember? Half of the angle outside, for as long as the conditions are like the ones above.

OpenStudy (anonymous):

so 27?

OpenStudy (mortonsalt):

Yes.

OpenStudy (mortonsalt):

a=27. What do you know about a+b?

OpenStudy (anonymous):

Thank you so much dude, you're a lifesaver. I may or may not need help with a couple other questions. Wouldnt a + b = 90 in this particular question?

OpenStudy (mortonsalt):

Yep!

OpenStudy (anonymous):

so 90 - 27 = the length of b which would be 63?

OpenStudy (mortonsalt):

I'd advise you the revise your circle theorems. :) If you have a good grasp of them, these problems would be easy.

OpenStudy (mortonsalt):

And yes.

OpenStudy (anonymous):

Awesome! thank you!

OpenStudy (anonymous):

Hey so will you check my answer for this next one? I got 68 @mortonsalt

OpenStudy (anonymous):

or would it be 54?

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