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In Mathematics / Middle School | 2014-09-06

A park has a circular area for a fountain with a circumference of about 16 feet. What is the radius of the circular area? Round to the nearest tenth.

Asked by Anonymous

Answer (3)

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 )

Answered by Anonymous | 2024-06-10

\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 ​ ​

Answered by mariamikayla | 2024-06-10

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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Answered by Anonymous | 2024-10-10