SOLUTION: Q. The radius of circle is 14 cm. A chord of this circle subtends an angle of measure 120 at the centre. Find the area of the minor segment formed by this chord.(sqare root of 3=1.

Algebra ->  Surface-area -> SOLUTION: Q. The radius of circle is 14 cm. A chord of this circle subtends an angle of measure 120 at the centre. Find the area of the minor segment formed by this chord.(sqare root of 3=1.      Log On


   

Question 119669: Q. The radius of circle is 14 cm. A chord of this circle subtends an angle of measure 120 at the centre. Find the area of the minor segment formed by this chord.(sqare root of 3=1.73)



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
r+=+14+cm+
chord of this circle subtends an angle of measure 120 at the centre
Find the area of the minor+segment formed by this chord
To find the area of a minor+segment(slice of cake) think of it as a sector minus a triangle with vertices at the centre of the circle and at the end points of the chord.
Let the angle of the triangle at the centre of the circle be x
degrees. Then the area of the sector A is:
A++=+pi+%2A+r%5E2+%2A+%28x%2F360%29

A++=+3.14+%2A+%2814cm%29%5E2+%2A+%28120%2F360%29
A++=+3.14+%2A+196cm%5E2+%2A+.33
A++=+615.44cm%5E2+%2A+.33
A++=+203.0952cm%5E2+