The area of a sector of a circle is 207.9 cm and
the measure of the arc of the sector is 54°. Find
(i) the radius of the circle and (ii) the length of
the arc.
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Answer:
Step-by-step explanation:
ere, length of arc, l=16 cm and r=9 cm
Length of arc, l=
360
o
θ
×2πr
16=
360
o
θ
×2π×9
∴θ=
2π×9
16×360
o
=
π
320
Now, area of sector, A =
360
o
θ
×πr
2
θ
∴A=
360
o
320/π
×π×9×9=72
Hence, the area of sectors is 72cm
2
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