Mr. Circle has a problem for you

Geometry Level pending

There is a circle with centre O and radius R. Two parallel chords on the same side of the centre, subtend angles 72 and 144 degrees respectively .Then the perpendicular distance between the two chords is:

2R 2R/3 6R/7 R/4 R/2

Shukraditya Bose by Shukraditya Bose , 17, India

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1 solution

Marta Reece
Jul 30, 2018

R ( c o s ( 7 2 ∘ 2 ) − c o s ( 14 4 ∘ 2 ) ) = R 2 R(cos(\frac{72^\circ}2)-cos(\frac{144^\circ}2))=\boxed{\frac R2}

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