Question

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Answer 1

OR

Let number of sides of a regular polygen is n
∴n× each angle = (n − 2)×180°
For regular hexagon n = 6
∴6× each angle = 4×180°
each angle =120°
Area of 6 shaded regions
6×120/360×pie R2= 2pie R2

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Answer 2

ANSWER:-


$<b>it is a regular hexagon. so each interior angle can be found by the formula (n-2) * 180/n [n is the number of sides] here, n = 6. so, interior angle = 6-2 * 180/6 = 120 ar of shaded sector of one circle = pi r^2 * angle/360 = pi r^2 * 120/360 = (pi r^2)/3 there are six such shaded sectors, so the total area of shaded portion = 6*(pi r^2)/3 = 2 pi r^2 therefore answer is 2 pi r^2.$