teehartinegr
teehartinegr teehartinegr
  • 12-08-2020
  • Mathematics
contestada

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Find the area of a sector with a central angle of 120 and a diameter of 73 cm Round to the nearest tenth class=

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zibahkeshiro
zibahkeshiro zibahkeshiro
  • 12-08-2020

Answer:[tex]14cm^{2}[/tex]

Step-by-step explanation:

diameter=7.3cm

radius=[tex]\frac{diameter}{2}[/tex]

          =[tex]\frac{7.3}{2}[/tex]

          =3.65cm

angle =120°

area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]

=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]

=[tex]13.95cm^{2}[/tex]

≅[tex]14cm^{2}[/tex]

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