Posted by **Jennfier** on Tuesday, July 31, 2012 at 8:22pm.

In a circle with radius 20cm, a chord is drawn with length 12 cm.

Find the area of the two regions created.

Find the perimeter of the two regions created.

- Circle question -
**Reiny**, Tuesday, July 31, 2012 at 10:13pm
I drew the 12 cm chord at the end of a radius, giving me an isosceles triangle with sides 20,20 and 12

Define the "two regions" created.

- Circle question -
**Steve**, Wednesday, August 1, 2012 at 10:26am
Hmmm. Isn't every chord drawn at the end of a radius?

Any chord divides the circle into two regions.

The area of the segment is the area of the sector less the area of the triangle, or r^2/2 (θ - sinθ)

sin θ/2 = 6/20, so θ/2 = .3047

sinθ = .5723

The area of the segment is thus 200*(.6094-.5723) = 7.42

So, the rest of the circle has area 400π - 7.42 = 1249.2171

arc length subtended by chord: rθ = 20*.6094 = 12.188

other arc is 2πr - rθ = 40π - 12.188 = 113.476

so, the perimeters are arc length + chord length = 24.188 and 125.476

(assuming no stupid arithmetic errors)

## Answer This Question

## Related Questions

- math - Two Rhombuses of the equal length and width of 10 inches each and height ...
- Maths - AB is a chord with centre O and radius 4 cm. AB is of length 4 cm and ...
- Math - write a formula that gives you the number of regions formed when x points...
- Math - write a formula that gives you the number of regions formed when x points...
- Math (URGENT) - write a formula that gives you the number of regions formed when...
- Math - In a circle , the radius is 68 units and a chord of the circle is 120 ...
- Math - In a circle , the radius is 68 units and a chord of the circle is 120 ...
- maths -circle - A chord of length 10 cm divides a circle of radius 5root2 cm in ...
- Geomatric series - A fractal is created: A circle is drawn with radius 8 cm. ...
- can xome1 help me plzz im stuck - HELP PLZZ...A circle has radius 2 cm,(in that ...

More Related Questions