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motikmotik
3 years ago
6

The circumference of a circle is 22 cm.

Mathematics
1 answer:
valkas [14]3 years ago
7 0

\bf \: Circumference \:  of  \: a \:  circle = 2\pi \: r

\implies22 = 2 \times  \dfrac{22}{7}  r

\implies22 =  \dfrac{44}{7}  \times r

\implies \: r =  \dfrac{22 \times 7}{44}

\implies \boxed{ r =  \dfrac{7}{2} }

Now,

\bf \: Area \:  of  \: circle = \pi {r}^{2}

\rightarrow \:  \frac{22}{7}   \times  ({ \frac{7}{2}) }^{2}

\rightarrow \frac{22}{ \cancel7}  \times  \frac{ \cancel{49}}{4}

\rightarrow \: 22 \times  \frac{7}{4}

\rightarrow \: 11 \times  \frac{7}{2}

\rightarrow \frac{77}{2}

\rightarrow \: 38.5 \: cm {}^{2}

Area of rectangle = 38.5 cm².

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