How do I solve this Circle Tangent Problem?

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guan721

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Oct 8, 2017
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Please help on this Common Tangents Problem.

The diagram shows two circles with a common tangent at T. The radius of the smaller circle is 5 cm and BT=BP. ACBP is a tangent to the circle with centre O. Calculate
(a) The length of TP

My attempt
- I tried to solve the question by finding complimentary angle of angle X, which is 90 degree - 32.5 degree(angle X) = 57.5 degree, and by using Trigonometry to calculate half the length of TP, Tan 57.5 degree multiply 5 cm, = 7.85 cm , and then multiply by 2, 7.85 cm x 2, the answer from me is 15.70 cm, but the correct answer is 17.15 cm.

Thanks a lot.
 

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Last edited:
Ehm... I think you may have uploaded the wrong image. What you uploaded is a table with properties of various bolts being compared. This contains no exercise to be solved, nor does it seem to have anything to do with circles or tangents. You'll need to either try again and upload the right image, or else explain how this relates to the topic in the title of your thread.
 
ksdhart2 said:
Ehm... I think you may have uploaded the wrong image. What you uploaded is a table with properties of various bolts being compared. This contains no exercise to be solved, nor does it seem to have anything to do with circles or tangents. You'll need to either try again and upload the right image, or else explain how this relates to the topic in the title of your thread.
Click to expand...

Sorry, uploaded wrong image previously, have edited the post.
 
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