Consider circle N with radius 30 cm and Theta equals StartFraction pi Over 6 End Fraction radians. Circle N is shown. Line segments L N and M N are radii with lengths of 30 centimeters. Angle L N M is theta. What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.Consider circle N with radius 30 cm and Theta equals StartFraction pi Over 6 EndFraction radians.
Circle N is shown. Line segments L N and M N are radii with lengths of 30 centimeters. Angle L N M is theta.
What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.
Answers
Answered by
25
Length of Minor Arc = 15.7 cm if Radius = 30 cm and arc angle = π/6
Step-by-step explanation:
Circumference of Circle = 2πR
R = 30 cm
Circumference of Circle = 2π * 30 = 60 π cm
Length of Minor Arc = (θ / 360 ) * Circumference of Circle if θ is in degrees
or
(θ / 2π ) * Circumference of Circle if θ is in Radians
= (θ / 2π ) * 60 π
= 30 θ
θ = π/6
= 30 π/6
= 5 π
using π = 3.14
= 15.7 cm
Length of Minor Arc = 15.7 cm
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Answered by
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Answer:
15.7 centimeters
Step-by-step explanation:
Correct on edge
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