Question

find the area of a sector of an angle A (in degrees) of a circle with radius R

Answer 1

Area of sector =€/360°×πR^2
Area =A/360°×πR^2

Answer 2

Let a circle with centre O.
At centre the measure of angle=360 degree.
Radius=r

Area of circle when angle 360 degree(complete angle at centre)=
Pi×r×r
Area of sector at 1 degree= (pi ×r×r)÷360


Area of sector with angle measure Q.

[(pi×r×r) × Q] ÷ 360


Example:-
Let a circle with centre A.
Finding area of circle with angle measure 30 degree.
Radius of circle=7cm

Area of sector of 30 degree=[(pi×r×r)×angle of sector)]÷360

Area=[(pi×7×7)×30]÷360
Area=[(49×pi)×30]÷360
Area=(154×30)÷360
Area=4620÷360
Area=462÷36
Area=12.8 cm^2 (aprrox.)




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