Find the area of sector of a circle with radius 12 cm. if angle of the sector is 75 degree ( π= 3.14)
Answers
Answered by
9
Step-by-step explanation:
Area of the segment AXB = Area of the sector OAXB − Area of triangle OAB.
The triangle OAB is an equilateral triangle since the length of sides are equal to the radius of the circle and an angle is 60
0
Area of an equilateral triangle with length of side a=
4
3
a
2
Area of a sector of a circle of radius 'r' and angle θ=
360
θ
πr
2
Hence, Area of segment AXB =
360
60
×3.14×12
2
−
4
1.73
×12
2
=75.36−62.28=13.08sqcm
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5
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