nelsonaustin70691 nelsonaustin70691
  • 01-08-2018
  • Mathematics
contestada

What is the radius of a circle with a sector area of 7pi sq. ft. and an arc whose measure is 70°? 6 feet 10 feet 18 feet

Respuesta :

Riia
Riia Riia
  • 01-08-2018

Here we have to use the formula of area of sector, which is

[tex] A = (\frac{\Theta}{360})*\pi r^2 [/tex]

Theta = 70 degree, and radius is unknown here. It is given that area = 7 pi .

Substituting the given values in the formula, we will get

[tex] 7 \pi = (\frac{70}{360})*\pi r^2 [/tex]

[tex] \frac{7 \pi * 360}{70 \pi}=r^2 [/tex]

[tex] 36 = r^2=>r=6ft [/tex]

Therefore the correct option is the first option .

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tplokinger
tplokinger tplokinger
  • 04-03-2021

Answer:

6 FEET

Step-by-step explanation:HOPE THIS HELP

Answer Link

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