SOLUTION: Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:

Algebra.Com
Question 1106217: Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the area of the sector of a circle with radius 14 inches formed by a central angle of 6 radians:
------
Area = pi*r^2*(6/2pi) = 3r^2
Area = 588 sq inches
==========================
Notice it's the angle times r^2/2.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Area =  =  =  =  = 294 square inches.



The area of the sector is  HALF THE PRODUCT  of the square of the radius by the central angle in radians.



See the lesson
    - Area of a sector 
in this site.


RELATED QUESTIONS

Find the area of the sector of a circle with radius 6 yards formed by a central angle of... (answered by ikleyn)
Find the area of a sector with a central angle of 4pi over 3 radians in a circle whose... (answered by mananth)
Find the area of the sector formed by central angle 3π/5 in a circle of radius r= 3m (answered by Fombitz)
find the area of a sector if the central angle measures 5pi/6 radians and the radius of... (answered by RAY100)
A circle has a radius of 1.5ft . A sector of the circle has a central angle of 7pi/6... (answered by lwsshak3)
A circle has a radius of 5cm . A sector of the circle has a central angle of {{{7pi/6}}}... (answered by Fombitz)
the radius of a circle is 6 inches what is the area of a sector bounded by a central... (answered by josmiceli)
If the sector formed by a central angle of 45° has an area of π/2 square... (answered by josgarithmetic)
What is the area of a circle sector whose radius is 10 inches and whose central angle... (answered by lwsshak3)