Question

Find the diameter of circle and its circumference if its area is 394.24cm square

Answer 1

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Answer 2

Diameter of the circle is 22.4. Circumference of circle is 70.4 cm.

Step-by-step explanation:

The area of a circle is

$A=\pi r^2$

where, r is radius of the circle.

It is given that area of the circle is 394.24 cm².

Substitute A=394.24 and $\pi=\frac{22}{7}$ in the above formula.

$394.24=(\frac{22}{7})r^2$

$394.24\times \frac{7}{22}=r^2$

$125.44=r^2$

Taking square root on both sides.

$\sqrt{125.44}=r$

$11.2=r$

Radius of the circle is 11.2 cm.

$Diameter=2r=2(11.2)=22.4$

Diameter of the circle is 22.4.

Circumference of circle is

$C=2\pi r$

Substitute r=11.2 and $\pi=\frac{22}{7}$ in the above formula.

$C=2(\frac{22}{7})(11.2)$

$C=70.4$

Therefore, the circumference of circle is 70.4 cm.

#Learn more

If the area of circle is 75.44 sq cm .then what is the circumference of circle.

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