(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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Mix Examples - Areas Related to Circles

Area of a sector of a circle of radius $36 \, cm$ is $54 \pi \, cm^{2}$. Find the length of the corresponding arc of the sector (in $cm$). (in $\pi$)

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All the vertices of a rhombus lie on a circle. Find the area of the rhombus,if the area of the circle is $1256 \, cm^{2}$. (Use $\pi = 3.14$). (in $cm^{2}$)

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The area of a minor sector of $\odot(P, 30)$ is $300 \, cm^2$. The length of the arc corresponding to it is .......... $cm$.

Medium

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Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?

Easy

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With respect to the given diagram,which of the following correctly matches the information in Part $I$ and Part $II$?

Part $I$ Part $II$

$1. \overline{OA} \cup \overline{OB} \cup \widehat{APB}$ $a. \text{Major sector}$

$2. \overline{AB} \cup \widehat{AQB}$ $b. \text{Minor segment}$

$3. \overline{AB} \cup \widehat{APB}$ $c. \text{Minor sector}$

$4. \overline{OA} \cup \overline{OB} \cup \widehat{AQB}$ $d. \text{Major segment}$

Part $I$	Part $II$
$1. \overline{OA} \cup \overline{OB} \cup \widehat{APB}$	$a. \text{Major sector}$
$2. \overline{AB} \cup \widehat{AQB}$	$b. \text{Minor segment}$
$3. \overline{AB} \cup \widehat{APB}$	$c. \text{Minor sector}$
$4. \overline{OA} \cup \overline{OB} \cup \widehat{AQB}$	$d. \text{Major segment}$

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

Similar Questions

Area of a sector of a circle of radius $36 \, cm$ is $54 \pi \, cm^{2}$. Find the length of the corresponding arc of the sector (in $cm$). (in $\pi$)

All the vertices of a rhombus lie on a circle. Find the area of the rhombus,if the area of the circle is $1256 \, cm^{2}$. (Use $\pi = 3.14$). (in $cm^{2}$)

The area of a minor sector of $\odot(P, 30)$ is $300 \, cm^2$. The length of the arc corresponding to it is .......... $cm$.

Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?

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