Mathematics

Question

Can someone help me in this question plssss.
The area of a circle, in terms of π, is 54π m2.
Find the value of the radius.
Give your answer as a simplified surd.

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  • Answer:

    AREA of circle = πr² { r = radius} -----------(1)

    Area of circle = 54π m² {given} -----------(2)

    from eq(1) & eq(2), we get

    => πr² = 54π

    => r² = 54π/π

    => r² = 54

    => r = √(54) {after taking root both sides

    Hence, the value of radius is √(54) m.

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  • The answer is 6 x root 3