Math, asked by Danlas3369, 10 months ago

Which has greater degree measure : an arc of length 5cm of circle of radius 10cmor an arc of length 5cmof radius 20 CM?

Answers

Answered by amitnrw
3

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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