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Area of a Sector of a Circle

O is the cent...

Question

O is the centre of circle . If the area of sector OAPBA is 5/36 times the area of the circles then find the value of theta .

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Solution

Let x= central angle and r= radius of the circle.
Area of sector = 5/36th of area of circle

Pir²x/360 = 5/36 * pi*r²

X/360 = 5/36
X = 50 degrees

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