The diagram shows the cross section of a circular tunnel in the city. Calculate the shaded area.

Created: 3 months ago | Updated: 3 months ago

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প্রশ্নে বলা হচ্ছে যে, চিত্রে একটি শহরের বৃত্তাকার টানেলের আড়াআড়ি করে দুটি অংশ দেখানো হয়েছে। বৃত্তাকার টানেলের Shaded অংশের ক্ষেত্রফল বের করতে হবে?

We are given two circles in the tunnel. One is smaller than another. Given that diameter of the smaller circle is 8m.

So, let the radius of smaller circle $r = \frac{8}{2} = 4 m$

∴ Let the radius of larger circle will be $R = 4 + 1 = 5 m .$

∴ Shaded area of the circle will be $= ({πR}^{2} - {πr}^{2}) m^{2} = [π \times {(5)}^{2} - π \times {(4)}^{2}] m^{2} = (25 π - 16 π) m^{2} = 9 {πm}^{2}$

$ans . Shaded area is 9 {πm}^{2}$

3 months ago

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