Posted by **rahul patel** on Wednesday, January 25, 2012 at 2:03pm.

a. A sector that has been cut out of circular plastic sheet which has a circumference of 12.31 m. If the central angle of the sector is 1/4 of a revolution, find the area of the sector.

- trig -
**Kate**, Wednesday, January 25, 2012 at 2:18pm
This is not trig.

Anyway, C=2(pi)r. If the circumference is 12.31, then the radius is 12.31/[(pi)r] = 1.96. If the central angle is 1/4 of a revolution, then the central angle measure is 90 degrees.

The area of a sector is a piece of the area of the entire circle:

A=(pi)r^2 * central angle measure/360

A=(pi)1.96^2 * 90/360

A=3 m^2

## Answer this Question

## Related Questions

- math - a circular pizza box logo has a sector with a central angle of 80 degrees...
- TRIG HELP ASAP - I really need help on this problem. A sector has area of 15 in^...
- Geometry - Infinitely many different sectors can be cut from a circular piece of...
- geometry - 11. Infinitely many different sectors can be cut from a circular ...
- trig - In a circle of radius 12 inches, a sector is formed by a central angle of...
- math - A circular room has radius equal to 40 feet. Marble is to be laid on a ...
- trigonometry - please check my answers. 1.Find the area of the sector of a ...
- pre-calc - Find an angle between 0 and 2ð that is coterminal with the given ...
- math - A sector in a circle of radius 8.1 m has an area of 53.5 m^2. The ...
- Geometry - The circumference of a circle is 20 pi cm. Find diameter, radius, and...