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Question
A sector of a circle of radius 8cm contains the angle of 135°. Find the area of sector.
Solution
We know that the area A of a sector of an angle θ in the circle of radius r is given by `A=theta/360^@xxpi r^2`
It is given that r = 8 cm and θ = 135°.
Now we substitute the value of r and θ in above formula,
`A=135^@/360^@xxpixx8xx8 cm^2`
`=24 pi cm^2`
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