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Answer:
r= 12.4m (3 s.f.)
Step-by-step explanation:
Area of circle= πr², where r is the radius
154π= πr²
Divide both sides by π:
154= r²
r²= 154
Square root both sides:
[tex]r = \sqrt{154} [/tex]
r= 12.4m (3 s.f.)
Answer:
The radius of circular pond is 12.4 m.
Step-by-step explanation:
Given :
To Find :
Using Formula :
[tex]\star\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}[/tex]
Solution :
Finding the radius of circular pond by substituting the values in the formula :
[tex]{\dashrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{154 \pi = \pi{r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{154 \times \dfrac{22}{7} = \dfrac{22}{7} \times {r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{154 \times \cancel{\dfrac{22}{7}} = \cancel{\dfrac{22}{7}} \times {r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{154 = {r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{r = \sqrt{154} }}}[/tex]
[tex]{\dashrightarrow{\sf{r \approx 12.4 }}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{r \approx 12.4 \: m }}}}}[/tex]
Hence, the radius of circular pond is 12.4 m.
[tex]\rule{300}{1.5}[/tex]