Question

A sector of ${56}^{\circ }$ cut out from a circle contains area $4.4c{m}^2$. Find the radius of the circle.

Answer 1

We know that the area A of a sector of circle at an angle θ of radius r is given by

.

It is given that, and angle .

We can find the value of r by substituting these values in above formula,

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Hence required radius 3 cm