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Veronika [31]
3 years ago
11

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

  • Sin© = Opposite side ÷ hypothenus side
  • where © is the given angle in the triangle

  • Sin 60 = 2✓3 ÷ |EF|
  • |EF| = 2√3 ÷ sin 60
  • |EF| = 2√3 ÷ 0.8660
  • |EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

  • Circumference = 2πr
  • where r = radius
  • radius = diameter ÷ 2
  • radius = 4 ÷ 2
  • radius = 2 ft

  1. Circumference = 2πr
  2. Circumference = 2 × 22/7 × 2
  3. Circumference = 12.57 ft
  4. Circumference = 12.57 ft

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