jisalinas9220 jisalinas9220
  • 01-06-2018
  • Mathematics
contestada

A circle has a radius of 17 cm find the length s of the arc intercepted by a central angle of 66 degrees

Respuesta :

Аноним Аноним
  • 01-06-2018
Circumference = 2*17 pi = 34pi cms

length of s = (66/360) * 34 pi  =  6.233 pi  =   19.58 cm to nearest hundredth
Answer Link
tramserran
tramserran tramserran
  • 01-06-2018
Arc length (s) = radius (r) x θ (in radians)

First, convert 66° into radians using the proportion π = 180°
[tex] \frac{ \pi}{180} = \frac{x}{66} [/tex]
[tex] \frac{66 \pi }{180} = x[/tex]
[tex] \frac{11 \pi }{30} = x[/tex]

s = r θ
  = 17 ([tex] \frac{11 \pi }{30}[/tex])
  = [tex] \frac{187 \pi }{30} [/tex]

Answer: [tex] \frac{187 \pi }{30} [/tex] ≈ 19.6 cm
Answer Link

Otras preguntas

Simplify 225 over 40(in fraction form)
what were some of the borrowings of the hittites
express 686 49/50 as a decimal
SOMEONE PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ. Help me with number 5 question!!!!!
what do organisms experience because of growing population
what number is prime 24,41,64,16 give u 100 points later promise:)
During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of the year. At the end of the yea
HOW CAN YOU MAKE 7,5,6,AND 3 EQUAL 75 USING PARENTHESIS.
What event marked the end of the era of prosperity associated with the roaring twenties
Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?