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The sectoris of the circle.The sectoris also of the circle.To find the area of the sector, just find one of thesefractionalpartsof the area of the circle.We knowthat
the area of the circleis. Let be the area of the sector.
Also,
Areaof a SectorA circlehas radius. A sectorof the circlehas an arc with degreemeasure
and arc length units.The area of the sectoris squareunits.Example 2
Markdrewa sheetmetalpatternmadeup of a circlewith a sectorcut out. The patternis madefrom an arcof a circleand two perpendicular -inchradii.
How muchsheetmetaldoesMarkneedfor the pattern?The measureof the arc of the pieceis , whichis of the circle.