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In the diagram above O is the center of the circle. If

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In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find... » QuizTablet

In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find the value of <TOR.

  • A. 40ᵒ
  • B. 130ᵒ
  • C. 100ᵒ
  • D. 50ᵒ

QUICK ANSWER…

C

SOLUTION 

There is a rule in circle geometry which states that angle at the center is twice the angle at the circumference provided the two angles are based on a common chord.

In the diagram above, <TOR and <TUR are based on the same chord TR, therefore;

<TOR = 2 <TUR = 2 × 50 = 100

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is correct.
  4. D is not the correct answer.

QUICK TIPS…

You may please note these/this:

  • Angle at the center of a circle is twice the angle at any point on the circumference provided the two angles are based on the same chord.
RELATED!  From the diagram above, find the value of OTQ

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/ culled from 2015 JAMB-UTME mathematics past question 43 /

In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find... » QuizTablet
In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find... » QuizTablet

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