Diagram -
Since neither angles nor sides are given in the question, immediately the sum of angles of pentagon should come in mind. To use it,
We know the area of the sectors of a circle is given as,
Central Angle x
In this case,
Sum of shaded region = + ………… +
= (P + Q +…. T) x
= Sum of interior angles of pentagon x
= 3 x 180° x (Sum of interior angles = (n – 2) X 180°
= 3 *
Note => The above concept is applicable for a polygon of n sides.
Choice (B) is therefore, the correct answer.
Correct Answer: 1.5r^{2}
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