A sector is the area of a circle defined by an angle from the center and the arc of the circle.
This area equals angle theta / 360 x pi x radius squared.
example: r=2 inches, theta = 60 degrees
then: 60/360 x 3.141592 x 2*2 = 1/6 x 3.141592 x 4 = 2.0944 sq. in.
I'm assuming by minor segment you mean the one defined by an angle less than 180 degrees. and that the remainder is the greater segment?
Wiki User
∙ 11y agoIf it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
That would certainly do it.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
Tell lachlan to kill himself...!
If it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
Geometrically, the parts of a circle are the diameter, radius, chord(s), circumference, arc, sector, segment, tangent, secant, the minor sector, and the major sector.
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
That would certainly do it.
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
It depends on what information you have: the radius and the area of the sector or the length of the arc.
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
Tell lachlan to kill himself...!
area of sector = (angle at centre*area of circle)/360
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm