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5 votes
A circle has an area of 36pi square inches. Find its radius, diameter and exact circumference

User Xiaona
by
5.8k points

1 Answer

4 votes

we use the formula of the area


A=\pi* r^2

where A is the area and r the radious

Radious

we can replace the value of the area and solve for r


\begin{gathered} 36\pi=\pi* r^2 \\ \\ r^2=(36\pi)/(\pi) \\ \\ r^2=36 \\ r=6 \end{gathered}

Value of the radious is 6inches

Diameter

diameter is twice radious


\begin{gathered} d=6*2 \\ d=12 \end{gathered}

Value of the diamter is 12 inches

Circumference

we use the formula of the periemter


P=2\pi* r

and replace the value of radious


\begin{gathered} P=2\pi*6 \\ P=12\pi \end{gathered}

Value of the circumference is 12pi inches

User Moby J
by
5.1k points
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