Thursday

July 31, 2014

July 31, 2014

Posted by **Shruti katiyar** on Wednesday, December 26, 2012 at 9:23am.

A chord PQ of length 12cm suntends an angle of 120 degree at the centre of a circle. Find the area of minor segment cut off by the chord PQ

- Maths -
**Steve**, Wednesday, December 26, 2012 at 10:47amarea of segment is

a = 1/2 r^2 (θ-sinθ)

here,

4 sin θ/2 = 2, so θ=π/3

so,

a = 1/2 (16) (π/3 - √3/2)

= 4/3 (2π-3√3)

use same formula with θ=2π/3, r*sin(θ/2)=6 to find r

**Related Questions**

maths -circle - A chord of length 10 cm divides a circle of radius 5root2 cm in ...

Copperbelt international college - A chord PQ of length 5.6cm divides a circle ...

maths --plse help me.. - Find the difference of the areas of two segments of a ...

maths - A chord subtends an angle of 68 degree at the centre of a circle of ...

math - The equation of a circle with centre O(0,0) is x^2+y^2=40. The points A(-...

can xome1 help me plzz im stuck - HELP PLZZ...A circle has radius 2 cm,(in that ...

Maths - What is the area of the minor segment cut off a circle of radius 10 cm ...

Maths - The radius of a circle is 8cm, and the length of one of its chords is ...

maths - the radius of a circle is 8cm and the length of one of its chords is ...

maths - Find the area of the minor segment in a circle with radius 6.2 cm and ...