You can use the formula A = C/4 to find the area of a circle given the circumstance. Describe another way to find the area of a circle when

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1. Answer:

   [tex]A = \frac{Cr}{2}[/tex]

   Step-by-step explanation:

   Given

   [tex]A = \frac{C}{4}[/tex]

   Required

   Describe another way to get area from circumference

   Circumference C is calculated using:

   [tex]C = 2\pi r[/tex]

   Area, A is calculated using:

   [tex]A = \pi r^2[/tex]

   Using: [tex]C = 2\pi r[/tex]

   Divide both sides by 2

   [tex]\frac{C}{2} = \frac{2\pi r}{2}[/tex]

   [tex]\frac{C}{2} = \pi r[/tex]

   Multiply both sides by r

   [tex]r*\frac{C}{2} = \pi r*r[/tex]

   [tex]r*\frac{C}{2} = \pi r^2[/tex]

   [tex]\frac{Cr}{2} = \pi r^2[/tex]

   The expression on the right-hand side is the area.

   So, substitute [tex]\pi r^2[/tex] for A

   [tex]\frac{Cr}{2} = A[/tex]

   Reorder

   [tex]A = \frac{Cr}{2}[/tex]

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