Which has greater degree measure : an arc of length 5cm of circle of radius 10cmor an arc of length 5cmof radius 20 CM?
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an arc of length 5cm of circle of radius 10cm has greater degree measure than an arc of length 5cmof radius 20 cm
Step-by-step explanation:
an arc of length 5cm of circle of radius 10cm in degree
= (arc length / Circumference) * 360°
= (5 / 2π r) * 360°
= (5 / 2π * 10) * 360°
= 90/π°
= 28.65°
an arc of length 5cm of circle of radius 20cm in degree
= (arc length / Circumference) * 360°
= (5 / 2π r) * 360°
= (5 / 2π *20) * 360°
= 45/π°
= 14.32°
an arc of length 5cm of circle of radius 10cm measure > an arc of length 5cm of circle of radius 20cm in degree
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