Question

the difference between the circumference and radius of a circle is 37 CM . find its area?​

Answer 1

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$\huge\red{154} \: \: cm.$

Given :-

$c - r = 37.$

Now,

putting the value

$\rightarrow \: 2 \times \frac{22r}{7} - r = 37. \\ \\ \rightarrow \frac{44r}{7} - r = 37. \\ \\ \rightarrow \: \frac{44r - 7r}{7} = 37. \\ \\ \rightarrow \: 44r - 7r = 37 \times 7. \\ \\ \rightarrow \: 37r = 37 \times 7. \\ \\ \rightarrow \: r = \frac{37 \times \cancel 7}{ \cancel7} . \\ \\ r = 7.$

A/Q.

$\rightarrow \: \: \: area \: \: \: of \: \: \: circle \: \: \: \: \: \: = \pi {r}^{2}$

Putting the value of r = 7 cm.

$\rightarrow \pi {r}^{2} = \frac{22}{7} \times {7}^{2} . \\ \\ \rightarrow \: \: \: \: \: \: \: \: \: = \frac{22}{ \cancel7} \times 7 \times \cancel 7. \\ \\ \rightarrow \: \: \: \: \: \: \: \: \: = 154 \: \: cm.$

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