Q.34. Find the area of the sector of a circle with radius 4 cm and of
angle 30°. Also, find the area of the corresponding major sector
(3)
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0
Answer:
=50.24cm.
Step-by-step explanation:
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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