(A) Given,the area of the circle $A = 38.5\, m^2$.The formula for the area of a circle is $A = \pi r^2$.Substituting the value of $\pi = \frac{22}{7}$

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(A) Given,the area of the circle $A = 38.5\, m^2$.The formula for the area of a circle is $A = \pi r^2$.Substituting the value of $\pi = \frac{22}{7}$,we get:$38.5 = \frac{22}{7} \times r^2$$r^2 = \frac{38.5 \times 7}{22}$$r^2 = \frac{269.5}{22} = 12.25$$r = \sqrt{12.25} = 3.5\, m$.The circumference of the circle is given by $C = 2\pi r$.$C = 2 \times \frac{22}{7} \times 3.5$$C = 2 \times 22 \times 0.5 = 22\, m$.Therefore,the circumference is $22\, m$.

Class 10 Mathematics Areas Related to Circles Mix Examples - Areas Related to Circles

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The area of a circle is $38.5\, m^2$,then its circumference will be $\ldots \ldots \ldots \ldots \, m$.

A
$22$
B
$2.2$
C
$38.5$
D
$3.85$

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Areas Related to Circles

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Mix Examples - Areas Related to Circles

In $\odot(O, 4)$,$\widehat{ACB}$ is a minor arc and $m \angle AOB = 45^\circ$. Then,the length of minor $\widehat{ACB}$ is $\ldots \ldots \ldots \ldots$

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The maximum area of a triangle inscribed in a semicircle having radius $10 \, cm$ is $\ldots \ldots \ldots \, cm^2$.

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Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters $20 \, cm$ and $48 \, cm$. (in $cm$)

Medium

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The area of a circular playground is $22176 \, m^{2}$. Find the cost of fencing this ground at the rate of $Rs. \, 50$ per $metre$. (in $Rs.$)

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Which of the following correctly matches the information given in Part $I$ and Part $II$?

Part $I$ Part $II$

$1.$ Formula to find the length of a minor arc $a.$ $C=2\pi r$

$2.$ Formula to find the area of a minor sector $b.$ $A=\pi r^{2}$

$3.$ Formula to find the area of a circle $c.$ $l=\frac{\pi r \theta}{180}$

$4.$ Formula to find the circumference of a circle $d.$ $A=\frac{\pi r^{2} \theta}{360}$

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Part $I$	Part $II$
$1.$ Formula to find the length of a minor arc	$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector	$b.$ $A=\pi r^{2}$
$3.$ Formula to find the area of a circle	$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle	$d.$ $A=\frac{\pi r^{2} \theta}{360}$

The area of a circle is $38.5\, m^2$,then its circumference will be $\ldots \ldots \ldots \ldots \, m$.

Similar Questions

In $\odot(O, 4)$,$\widehat{ACB}$ is a minor arc and $m \angle AOB = 45^\circ$. Then,the length of minor $\widehat{ACB}$ is $\ldots \ldots \ldots \ldots$

The maximum area of a triangle inscribed in a semicircle having radius $10 \, cm$ is $\ldots \ldots \ldots \, cm^2$.

Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of diameters $20 \, cm$ and $48 \, cm$. (in $cm$)

The area of a circular playground is $22176 \, m^{2}$. Find the cost of fencing this ground at the rate of $Rs. \, 50$ per $metre$. (in $Rs.$)

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