Find the area of sector formed by a central angle of 1.4 radians in a circle of radius2.1 metres
1) 3.4 m2
2) 3.3 m2
3) 3.2 m2
4) 3.1 m2
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We have,
Let the radius of circle r=4cm.
Angle θ=30
o
Area of sector of circle
=
360
o
θ
×πr
2
=
360
o
30
o
×π×4×4
=
12
π
×16
=
3
4π
=
3
4
×3.14
=4.186cm
2
Area of major sector = Area of circle-area of minor sector
=πr
2
−4.186
=3.14×4×4−4.186
=3.14×16−4.186
=50.24cm.
2
Hence, this is the answer
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