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# Area of a part of circle | PRMO 2017 | Question 26

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

## Area of part of circle - Problem 26

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

### Key Concepts

Equation

Algebra

Integers

PRMO, 2017, Question 26

Higher Algebra by Hall and Knight

## Try with Hints

A=2[]++

where

or,

or, A=24+

or, A=

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

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

## Area of part of circle - Problem 26

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

### Key Concepts

Equation

Algebra

Integers

PRMO, 2017, Question 26

Higher Algebra by Hall and Knight

## Try with Hints

A=2[]++

where

or,

or, A=24+

or, A=

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

## Subscribe to Cheenta at Youtube

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