Math, asked by mehraj3999, 1 year ago

If difference between circumference and radius is 37 then area is

Answers

Answered by ihrishi
2

Step-by-step explanation:

Let the circumference and radiud of the circle be C and r.

Therefore,

C - r = 37

 \therefore \: 2 \pi \: r - r = 37 \\ \therefore \: r(2 \pi  - 1) = 37\\ \therefore \: r(2  \times  \frac{22}{7}   - 1) = 37 \\ \therefore \: r(\frac{44 - 7}{7}) = 37 \\ \therefore \: r \times  \frac{37}{7}  = 37 \\\therefore r = 37 \times  \frac{7}{37}  \\ \therefore \: r \:  = 7 \: units \\ Area  \: of \:  circle  =  \pi \:  {r}^{2}   \\ =  \frac{22}{7}  \times  {7}^{2}  \\  = 22 \times 7 \\  = 154 \: square \: units \:  \\ Area  \: of \:  circle = 154 \: square \: units \:

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