Answer:
The radius of a circle is 8.5 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
\text{Visual representation:}
Visual representation:
radius = 8.5 m
\text{Circumference of a circle formula:}
Circumference of a circle formula:
\color{green}{C}= 2\pi\color{red}{r}
C=2πr
2 times \piπ times the radius
\text{Substitute radius into formula:}
Substitute radius into formula:
\color{green}{C}=
C=
\,\,2 \cdot \pi \cdot\color{red}{8.5}
2⋅π⋅8.5
\color{green}{C}=
C=
\,\,2 \cdot\color{red}{8.5}\cdot \pi
2⋅8.5⋅π
Commutative property of multiplication
\color{green}{C}=
C=
\,\,17\pi
17π
Circumference in terms of \piπ
\color{green}{C}=
C=
\,\,53.40707511...
53.40707511...
Multiply, using the \piπ button on your calculator
\color{green}{C}\approx
C≈
\,\,53.4
53.4
Round to the nearest tenth
radius = 8.5 m
Circumference is the distance around the circle:
C = 53.4 m
\text{The \color{green}{circumference} is approximately 53.4 m.}
The circumference is approximately 53.4 m.The radius of a circle is 8.5 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
\text{Visual representation:}
Visual representation:
radius = 8.5 m
\text{Circumference of a circle formula:}
Circumference of a circle formula:
\color{green}{C}= 2\pi\color{red}{r}
C=2πr
2 times \piπ times the radius
\text{Substitute radius into formula:}
Substitute radius into formula:
\color{green}{C}=
C=
\,\,2 \cdot \pi \cdot\color{red}{8.5}
2⋅π⋅8.5
\color{green}{C}=
C=
\,\,2 \cdot\color{red}{8.5}\cdot \pi
2⋅8.5⋅π
Commutative property of multiplication
\color{green}{C}=
C=
\,\,17\pi
17π
Circumference in terms of \piπ
\color{green}{C}=
C=
\,\,53.40707511...
53.40707511...
Multiply, using the \piπ button on your calculator
\color{green}{C}\approx
C≈
\,\,53.4
53.4
Round to the nearest tenth
radius = 8.5 m
Circumference is the distance around the circle:
C = 53.4 m
\text{The \color{green}{circumference} is approximately 53.4 m.}
The circumference is approximately 53.4 m.The radius of a circle is 8.5 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
\text{Visual representation:}
Visual representation:
radius = 8.5 m
\text{Circumference of a circle formula:}
Circumference of a circle formula:
\color{green}{C}= 2\pi\color{red}{r}
C=2πr
2 times \piπ times the radius
\text{Substitute radius into formula:}
Substitute radius into formula:
\color{green}{C}=
C=
\,\,2 \cdot \pi \cdot\color{red}{8.5}
2⋅π⋅8.5
\color{green}{C}=
C=
\,\,2 \cdot\color{red}{8.5}\cdot \pi
2⋅8.5⋅π
Commutative property of multiplication
\color{green}{C}=
C=
\,\,17\pi
17π
Circumference in terms of \piπ
\color{green}{C}=
C=
\,\,53.40707511...
53.40707511...
Multiply, using the \piπ button on your calculator
\color{green}{C}\approx
C≈
\,\,53.4
53.4
Round to the nearest tenth
radius = 8.5 m
Circumference is the distance around the circle:
C = 53.4 m
\text{The \color{green}{circumference} is approximately 53.4 m.}
The circumference is approximately 53.4 m.
Explanation: