8. Find the area of the shaded portion of the figure. 10.5cm

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HixonZ206775 HixonZ206775

03-11-2022
Mathematics

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8. Find the area of the shaded portion of the figure. 10.5cm

Sagot :

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DasaniK325286 DasaniK325286 · Answer 1 · 2022-11-03T04:08:52-04:00

The area = area of the big rectangel - sum of the areas of the two circles

the diameter of each of the circles is 10.5cm

Hence, each circle has a radius of 10.5cm / 2 = 5.25cm

The length of the rectangle = the sum of the diameters of the circles

Therefore

The length of the rectangle = 10.5cm + 10.5cm = 21cm

The width of the rectangle = 10.5cm

Hence,

[tex]\begin{gathered} \text{area of shaded portion = 21}\times10.5\text{ - (}\pi\times5.25^2+\pi\times5.25^2) \\ =220.5-(55.125\pi)\approx47.32 \end{gathered}[/tex]

Hence the area of the shaded portion is 47.32 square centimeters

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