The angle subtended at the center of a circle of radius 5 cm by an arc of length 5π/3 cm
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θ = angle subtended at centre (degrees)
Length of Arc = θ/360° x 2πr cm
But arc length = 5π/3 cm
Therefore, Angle subtended at centre = 60°
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Answer:
theta=60
step-by-step explanation:
2pie* r * theta/360= 5* pie/3
2*5 * theta/360= 5/3 { pie is cancelled}
theta/36= 5/3
theta= 5*36/3
theta= 5*12
theta= 60
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