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Explore the Back-StoryTry this beautiful problem from the Pre-RMO, 2017, Question 26, based on Area of part of circle.

Let AB and CD be two parallel chords in a circle with radius 6 such that the centre O lies between these chords. Suppose AB=6 and CD=8. Suppose further that the area of the part of the circle lying between the chords AB and CD is where m.n.k are positive integers with gcd(m,n,k)=1. What is the value of m+n+k?

- is 107
- is 75
- is 840
- cannot be determined from the given information

Equation

Algebra

Integers

Answer: is 75.

PRMO, 2017, Question 26

Higher Algebra by Hall and Knight

A=2[]++

where

or,

or, A=24+

or, A=

(m+n+k)=(48+2+25)=75

- https://www.cheenta.com/rational-number-and-integer-prmo-2019-question-9/
- https://www.youtube.com/watch?v=lBPFR9xequA

Try this beautiful problem from the Pre-RMO, 2017, Question 26, based on Area of part of circle.

Let AB and CD be two parallel chords in a circle with radius 6 such that the centre O lies between these chords. Suppose AB=6 and CD=8. Suppose further that the area of the part of the circle lying between the chords AB and CD is where m.n.k are positive integers with gcd(m,n,k)=1. What is the value of m+n+k?

- is 107
- is 75
- is 840
- cannot be determined from the given information

Equation

Algebra

Integers

Answer: is 75.

PRMO, 2017, Question 26

Higher Algebra by Hall and Knight

A=2[]++

where

or,

or, A=24+

or, A=

(m+n+k)=(48+2+25)=75

- https://www.cheenta.com/rational-number-and-integer-prmo-2019-question-9/
- https://www.youtube.com/watch?v=lBPFR9xequA

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