Which formula would you use to determine how much paint would be needed to paint the inside of a circular shape with a diameter of 3 feet on your bedroom wall?
A) C = 2(3)π
B) C = 2(1.5)π
C) C = 32π
D) A = (1.52)π

Respuesta :

You need the area of the circle.
A = πr squared 
A = π (1.5) squared 
A = (9/4) π 

The circumference of the room is equal to 3π

Data Given;

  • diameter = 3ft
  • r = d/2 = 3/2 = 1.5ft
  • c = 2πr

To find the total amount required to paint the entire room, we would need to find the perimeter of the room but in this case, it is a circular shape hence we would use the circumference of the room.

Circumference of a Circle

The circumference of a circle is given as C = 2πr

[tex]c = 2*\pi * r \\c = 2\pi (1.5)\\c = 2*1.5\pi \\c = 3\pi[/tex]

from the calculation above, the circumference of the circle is 3π which is equivalent to option b

Learn more on circumference of a circle here;

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