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8 January, 04:07

the area of a sector of a circle of radius 15cm is 110cm², calculate the angle of subtended at yhe center of the circle by the arc?

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  1. 8 January, 04:29
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    44/45 radians

    Step-by-step explanation:

    The area is given by the formula ...

    A = (1/2) r²θ

    where θ is the central angle in radians.

    Filling in the given numbers, we have ...

    110 cm² = (1/2) (15 cm) ²θ

    θ = (220 cm²) / (225 cm²) = 44/45 radians

    The subtended angle is 44/45 radians, about 56.02°.
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