CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Areas of Different Plane Figures

A square of s...

Question

A square of side 4cm is inscribed in a circle. Find the area enclosed between the circle and square.

Open in App

Solution

The diagonal of the square equals the diameter of the circle

By Pythagoras theorem Diagonal = √(4² + 4²) = 5.657 cm
Radius = 5.657 / 2 = 2.828 cm

Area between circle and square = Area of circle - area of square (π=22/7)
= 22/7 × 2.828² - 4²
= 9.143 cm²
This is the answer

If you need the above image
Please download the it for better quality

Suggest Corrections

thumbs-up

13

Similar questions

Q. A circle is inscribed in a square of side

14 c m .

Find the area enclosed between the square and the circle.

Q. In the figure given alongside, a circle is inscribed in a square of side 4cm and another circle is circumscribing the square. Prove that the area of the circumscribed circle is two times the area of the inscribed circle.

Q. The side of a square is 10 cm. Find (i) the area of the inscribed circle, and (ii) the area of the circumscribed circle.

Q. There is a square of side “a” which has a circle inscribed in it. This circle has another square inscribed in it. Another circle is inscribed in this square. A third square is inscribed in this circle and a third circle is inscribed in this square. Find the ratio of the areas of the outermost square and the innermost circle

Q. Find the area of a circle inscribed in a square of side

6

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Crystallization

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Areas of Different Plane Figures

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon