luislopezred
luislopezred luislopezred
  • 01-04-2020
  • Mathematics
contestada

26. The length of ABC is 110 ft. What is the radius
of circle D? Round to the nearest tenth.


26 The length of ABC is 110 ft What is the radius of circle D Round to the nearest tenth class=

Respuesta :

thamimspartan thamimspartan
  • 09-04-2020

The radius of the circle is 20.6 ft

Explanation:

Given:

Length of arc ABC = 110 ft

Radius of the circle, D = ?

∠ADC is 54°

Circumference of the circle = length of ABC + length of AC

[tex]2\pi r = 110 + \frac{54}{360} X 2\pi r\\\\2\pi r = 110 + 0.3\pi r\\\\1.7\pi r = 110\\\\r = \frac{110}{1.7 X \pi } \\\\r = 20.6[/tex]

Therefore, the radius of the circle is 20.6 ft

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