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The area of a minor sector of a circle i...

The area of a minor sector of a circle is `3.85 cm^2` and the measure of its central angle is `36^@`. Find the radius of the circle.

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The correct Answer is:
3.5 cm.
Area of a minor sector `= 3.85 cm^2` measure of its central angle `(theta) = 36^@`
Let its radius be r.
Area of minor sector `=theta/360xx pir^2`
`:. 3.85=36/360 xx 22/7xx r^2`
`:.r^2=(3.85xx10xx7)/22`
`:.r^2=(38.5xx7)/22`
`:. r^2=12.25`
`:. r= 3.5 cm`
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