Find the area of the shaded region (the circles are edge with all sides of the rectangle).a) 31.6cm2b) 173.4cm2c) 226.2cm2d) 89.0cm2e) 288cm2

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Fearne Castro

2022-03-02

Find the area of the shaded region (the circles are edge with all sides of the rectangle).

31.6 c m^{2}

173.4 c m^{2}

226.2 c m^{2}

89.0 c m^{2}

288 c m^{2}

cassidacc4

Beginner2022-03-03Added 7 answers

The correct answer is option A.
The area of the given rectangle is

A_{r} = l \times b

= 21 \times 7

= 147 c m^{2}

The radius of the circles will be

r = \frac{7}{2} c m

The area of a circle will be

A = π r^{2}

= π {(\frac{7}{2})}^{2}

= 38.48 c m^{2}

So the area of the three circles will be

A_{C} = 115.45 c m^{2}

So the area of shaded region is the difference between the area of rectangle and area of circles,

A = A_{R} - A_{C}

= 147 - 115.45

= 31.6 c m^{2}

Therefore the correct answer is option A.

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