Area and Perimeter Practice Test 3

Question : 17 of 40

Marks: +1, -0

Three coins of the same size (radius 1 cm) are placed on a table such that each of them touches the other two. The area enclosed by the coins is:

Solution:

From the figure,
Area of shaded portion = Area of Δ ABC – Area of 3 equal sectors having central angle 60°.
=

√3/4 × 2^2 - 3 × {60}/{360} × π × 1^2

(√3 - π/2) cm^2

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