Question

If area of a circle is 49/64 pie cm square,then find the circumference of the circle?​

Answer 1

Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi

Answer 2

Area of 1st circle = pi* r²---------(1) r is radius

Area of 2nd circle = pi* s²---------(2) s is radius

$\Longrightarrow\sf{ \frac{(1)}{(2)} }$

$\Longrightarrow\sf{ \frac{(Pi*r^2) }{(pi* s^2)} =\frac{49}{64}}$

$\Longrightarrow\sf{ \frac{r^2}{s^2 }=\frac{49}{64}}$

$\Longrightarrow\sf{\frac{r}{s} =\frac{7}{8}}$

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