Answer:
[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]
Step-by-step explanation:
Given:
circumference of circular dinner plate= 113.04 cm
To find:
Area of dinner plate = ?
Solution:
circumference = 113.04 cm.
we know that circumference = 2πr
[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]
We know that,
Area of circle = πr²
now substituting value of r in above formula,
[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]
[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]
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