trig

posted by .

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 -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by …
  2. Geometry

    Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the …
  3. trig

    In a circle of radius 12 inches, a sector is formed by a central angle of pie/4 radians. Find the area of the sector to the nearest hundredth of a square inch.
  4. math

    A circular room has radius equal to 40 feet. Marble is to be laid on a sector of the room. What is the area of the sector if the central angle is 45°?
  5. TRIG HELP ASAP

    I really need help on this problem. A sector has area of 15 in^2 and central angle of 0.2 radians. Find the radius of the circle and arc length of the sector
  6. pre-calc

    Find an angle between 0 and 2ð that is coterminal with the given angle. -8pi/3 A sector of a circle has a central angle of 60°. Find the area of the sector if the radius of the circle is 3 mi.
  7. math

    A sector in a circle of radius 8.1 m has an area of 53.5 m^2. The central angle in a sector must be _____o. Round to one decimal place.
  8. math

    a circular pizza box logo has a sector with a central angle of 80 degrees and a diameter of 16 inches. Find the area of this sector
  9. Maths

    The angle of a sector of a circle with radius 42cm is 120 degree.if the sector is cut out and used to make a cone,what is the curved surface area of the cone?
  10. Advance Math

    If the radius of the right circular cylinder is 4 cm and the height is 16 cm and the measure of the central angle of the shaded sector is 45 degrees, what is the volume of the slice of the cylinder that has the 45 degree sector as …

More Similar Questions