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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;

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<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.

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

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