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Job

Solve the following mathematical problems:

A square is inscribed inside a circle. What is the area of the square if the radius of the circle is 10cm?

Created: 2 years ago | Updated: 1 year ago
Updated: 1 year ago
Answer :

প্রশ্নে বলা হচ্ছে, একটি বৃত্তে একটি বর্গ অন্তর্লিখিত আছে। বৃত্তটির ব্যাস 10cm হলে বর্গটির ক্ষেত্রফল কত?

First, let us depict an inscribed square in a circle

As, radius of the circle is 10 cm

∴ Diameter = cm

Here, diameter of the circle will be the diagonal of the square.

So, the length of the diagonal = 20cm.

If 'a' is one arm of a square, then the length of the diagonal will be a2

According to question,  a2 = 20

 a2 = 20   a = 202  a2 = 2022 = 4002 = 200 cm2

Therefore, area of the square is 200 cm2. ans.

 

1 year ago

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