Ring Confusion

Geometry Level 2

I want to wear a ring, so I decided to go to nearby gold shop and ordered to make a ring. Then the gold smith asked me a question as he said he was not good at maths.

He asked, " The ring you want has two circles which is concentric. The length of the chord tangent to the small circle is equal to 20 mm. Can you say me the area of the ring ( which is shaded in the image ) between the two circles so I could coat it ? "

Can you help me to find the area (in mm square) ? Answer up to two decimal places.


The answer is 314.28.

Anish Harsha by Anish Harsha , 20, India

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2 solutions

Venture Hi
Mar 4, 2015

The products of the segments of 2 intersecting chords in a circle are equal.

4 Helpful 0 Interesting 0 Brilliant 0 Confused

The accurate answer is 100 π ≈ 314.16 100\pi\approx314.16 , not the answer provided.

Marta Reece - 3 years ago
William Wu
Apr 14, 2015

So easy... I did it in my head while watching Friends season two.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I cannot do this on my head. I need a pen and a paper.

A Former Brilliant Member - 3 years, 4 months ago

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