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Mensuration | Mensuration Exercise 18.1

Question 9

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.

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Given,

Area of the square = 121 cm2

So, side = √121 = 11 cm

Now,

Perimeter = 4 a = 4 × 11= 44 cm

And, the circumference of the circle = 44 cm

∴ Radius = (44 x 7)/ (2 x 22) = 7cm

Therefore, area of the circle = πr2 = (7)2

= 22/7 × 7 × 7

= 154 cm2

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Our top 5% students will be awarded a special scholarship to Lido.

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Question 9

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given,

Area of the square = 121 cm2

So, side = √121 = 11 cm

Now,

Perimeter = 4 a = 4 × 11= 44 cm

And, the circumference of the circle = 44 cm

∴ Radius = (44 x 7)/ (2 x 22) = 7cm

Therefore, area of the circle = πr2 = (7)2

= 22/7 × 7 × 7

= 154 cm2

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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