If the radius of the sector is 4 and the length of its corresponding arc is 14, then the area of the sector is:
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We have,
Radius of circle=14cm.
Length of arc=22cm.
Using formula,
Angle=arcradius
Now,
Angle=1422
Angle=2×722
Angle=2π(π=722)
Angle=θ=2π
So,
Area of sector =360oθ×πr2
=360o90o×722×14×14
=41×22×2×14
=22×7
=154sq.cm.
Hence, this is the answers
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