The circle in figure has center O- the length of minor arc AB - 5- and m - AOB - 50- Calculate the area of the circle-

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The circle in...

Question

The circle in figure has center O, the length of minor $a r c A B = 5 π$ and m $∠ A O B = 50^{\circ}$ . Calculate the area of the circle.

25 π

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324 π

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576 π

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1, 296 π

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Solution

The correct option is B $324 π$
Given, $∠$ $A O B$ $=$ $50$ degrees
Length of minor arc $A B$ is $5 π$
Therefore, we get
$\frac{50}{360} = \frac{5 π}{2 π r}$ , where $r$ is radius of circle
$\Rightarrow r = 18$

Area of circle is $π \times 18^{2} = 324 π$

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The circle in figure has center O, the length of minor arcAB=5π and m∠AOB=50∘. Calculate the area of the circle.

The correct option is B 324πGiven, ∠ AOB = 50 degreesLength of minor arc AB is 5π Therefore, we get50360=5π2πr , where r is radius of circle⇒r=18 Area of circle is π×182=324π

The circle in figure has center O, the length of minor $a r c A B = 5 π$ and m $∠ A O B = 50^{\circ}$ . Calculate the area of the circle.

The correct option is B $324 π$
Given, $∠$ $A O B$ $=$ $50$ degrees
Length of minor arc $A B$ is $5 π$
Therefore, we get
$\frac{50}{360} = \frac{5 π}{2 π r}$ , where $r$ is radius of circle
$\Rightarrow r = 18$

Area of circle is $π \times 18^{2} = 324 π$