Question

the area of circle is 35.82 m square. find the radius of the circle​

Answer 1

4pir2= 35.82

pi r2= 8.955

r2= 2.85

r=1.687 ANSWER

Answer 2

Step-by-step explanation:

Given:

• The area of the circle = 35.82 m²

To Find:

• The radius of the circle = ?

Solution:

$\sf \: {{{Let \: the \: radius \: of \: the \: circle \: be \: \pink{x}.}}}$

We know that,

$\bold{ \sf \: \pink{Area \: of \: a \: circle \: = \pink{\pi {r}^{2} }}} \\ \\ \sf{➠ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 35.82 = \: \: \: \frac{22}{7} {x}^{2} } \\ \\ \sf{➠ \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ {}^{1791}\cancel{3582} \times 7}{100 \times \cancel{22}_{ \: \: 11}} = {x}^{2} } \\ \\ \sf{➠ \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \frac{12537}{1100 } } = {x}^{2} } \\ \\ \sf{➠ \: \: \: \: \: \ \: \: x = \sqrt{\frac{ {3}^{2}\times 7 \times 199}{11 \times {10}^{2}}}} \\ \\ \sf{➠ \: \: \: \: \: \: \: \: \: \: \: {x = \frac{3}{10} \times \sqrt{\frac{1393}{11}}}} \\ \\ \sf{\therefore \: \: \: \pink{x =0.3 \times 11.25 =3.37 \: {m} (approx)}}$

Therefore, the radius of the circle is 3.37 m.