Sunday

March 29, 2015

March 29, 2015

Posted by **Panda** on Thursday, January 10, 2013 at 11:10am.

- Geometry -
**Steve**, Thursday, January 10, 2013 at 11:32amas we all know, the side of an inscribed hexagon is equal to the radius.

So, the angle subtending the side is π/3

a = 1/2 r^2 (θ - sinθ)

= 1/2 * 64 (π/3 - √3/2)

= 32/6 (2π - 3√3)

More generally, the angle θ which subtends a chord of length s in a circle of radius r is

sin θ/2 = (s/2)/r = s/2r

In this problem, s=r=8, so

sin θ/2 = 1/2

θ = π/3

and away we go.

**Answer this Question**

**Related Questions**

geometry - Answer has to be in exact form.Find the area of a segment formed by a...

pre-calculus - find the area of the segment formed by a chord 24 cm long in a ...

geometry - Express answer in exact form. Find the area of the smaller segment ...

Maths - AB is a chord with centre O and radius 4 cm. AB is of length 4 cm and ...

geometry - Find the area of the smaller segment whose chord is 8" long in a ...

math geometry - Given a circle with an 8" radius, find the area of the smaller ...

Geometry - How would you solve these? The radius of a circle is 34 meters long, ...

geometry - suppose the diameter of a circle is 20in. long and a chord is 16in. ...

Geometry - in a circle of radius 11 cm, find the area of the segment bounded by ...

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