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What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?
Use 3.14 for T.
Round the answer to the hundredths place.
Enter your answer in the box.

Respuesta :

  • L=10ft
  • R=15ft
  • We have to find theta

[tex]\Large{\underline{\sf Solution:-}}[/tex]

[tex]\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=38.2°[/tex]

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