the angle of a sector is 72 degree and its radius is 14 cm then find the length of arc
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the angle of a sector is 72 degree and its radius is 14 cm then find the length of arc
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Answer:
Circumference of circle = 2πr
= 2 x 22/7 x 21 = 132 units.
Length of Arc = 132 x 72°/360° = 26.40 units
Length of Chord :
Use the cosine rule to find length of chord.
c^2 = a^2 + b^2 - 2 ab Cos C
= √(21^2 + 21^2 - 2 x 21 x 21 x Cos 72°)
= √(441 + 441 - (881 x 0.30902))
≈ √609 units
= 24.65 units