T h e c i rc u m f ere n ce o f a c i rc l e : C = 2 π r ( r − r a d i u s ) C = 16 f t 2 π r = 16 ∣ d i v i d e b o t h s i d es b y 2 π r = 2 π 16 r = π 8 w e a cce pt t h e a pp ro x ima t i o n o f π ≈ 3.14 r = π 8 ≈ 3.14 8 ≈ 2.5 ( f t )
\boxed{R=\frac{16}{2\pi}=\frac{8}{\pi}} \\ \\ R=\frac{8}{\pi}=\frac{8}{3.14} \\ \\\boxed{\boxed{R \approx 2.5}}"> C = 2 π R C = 16 f t 2 π R = 16 => R = 2 π 16 = π 8 R = π 8 = 3.14 8 R ≈ 2.5
The radius of the circular area for the fountain is approximately 2.5 feet when rounded to the nearest tenth, using the circumference formula. The calculation uses the value of 16 feet for the circumference and an approximate value of π .
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