Question

find the area of the unshaded portion the figure the shaded portion are semi circles

Answer 1

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Answer 2

Answer:

$Area \:of \: unshaded \\Area = 101.5\:m^{2}$

Step-by-step explanation:

$From \: the \: given \: figure :$

Dimensions of a rectangle:

Length (L) = 14 m ,

Breadth (B) = 10 m,

Area of the rectangle (A)= LB

= 14m × 10m

= 140 m² ----(1)

Dimensions of each semicircle:

Diameter (d) = L/2

=> d = 14/2 = 7 m

$Area \: of \: each \: semicircle = \pi \frac{d^{2}}{8}\\= \frac{22}{7} \times \frac{7^{2}}{8}\\=\frac{77}{4}--(2)$

Now,

Area of unshaded portion

= Area of the rectangle -2× Area of each semicircle

$=140 \:m^{2} - 2\times \frac{77\:m^{2}}{4}\\=140-\frac{77}{2}\\=140-38.5\:m^{2}\\=101.5\: m^{2}$

Therefore,

$Area \:of \: unshaded \\Area = 101.5\:m^{2}$

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