SOLUTION: Prove that the area of the minor segment cut off from a circle of radius r cm by a chord c cm from the centre of the circle is given by (1/2)[2π{cos^(-1)(c/r)}*r²/180° - 2c(r

Algebra.Com
Question 1131926: Prove that the area of the minor segment cut off from a circle of radius r cm by a chord c cm from the centre of the circle is given by
(1/2)[2π{cos^(-1)(c/r)}*r²/180° - 2c(r²-c²)^½]

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
duplicate
Answer by Edwin McCravy(20062)   (Show Source): You can put this solution on YOUR website!




            

That's equivalent to what you have above since

 and the inverse cosine is multiplied by  
to change degrees to radians, for apparently degrees are assumed 
by the author of this problem.  If radians were assumed for the 
inverse cosine, we would not use the factor .

Edwin
RELATED QUESTIONS

Prove that the area of the minor segment cut off from a circle of radius r cm by a chord... (answered by Alan3354)
Q. The radius of circle is 14 cm. A chord of this circle subtends an angle of measure 120 (answered by MathLover1)
the distance of a chord of a circle of a radius 5cm from the centre of the circle is 4 cm (answered by Boreal)
In a circle of radius 13 cm the length of its chord is 10 cm. Find the perpendicular... (answered by josgarithmetic)
A chord that is 15 cm long is 20 cm from the centre of a circle. Find the length of the... (answered by ankor@dixie-net.com)
A chord of a circle subtends an angle 60° at the centre of a circle of radius 7 cm. Find (answered by greenestamps)
a chord is 6 cm long. it is 15 cm from the centre of a circle. What is the radius of the... (answered by josgarithmetic,MathTherapy)
A circle having an area of 201 cm2 is cut into segments by a chord which is 3 cm from the (answered by Boreal)
If a 20 cm chord is 6 cm from a 10 cm chord. Find the radius of the... (answered by math_helper)