Question

ABCD is a square of side 14cm.with centre A,B,C,D four circles are drawn such that each circle touch externally two of the remaining three circles.find area of shaded region​

Answer 1

Answer:

42 cm

Step-by-step explanation:

Since square has all angles 90 degree

Area of shaded region

= Area of square ABCD

Are of 4 quadrants of circle

Area of square ABCD

Given side of square = 14 cm

Area of the square = ( Side)²

= (14)²

=(14x14)

= 196

In the question, diagram shows symmetry

therefore, the radius of the circle would be equal.

In every single diagrams radius = side of square divided by 2

= 14/2 = 7

So, radius = r = 7 cm

Now,

Area of one quadrant = 1/4x area of circle

1/2x py r square

1/2x22/7x(7²)

1/2x22x49

154/4 cm²

Area of shaded region = area of square - area of 4 quadrant

196-154

= 42 cm²

Answer 2

Answer:

42 cm²

Step-by-step explanation:

I have attached the answer. Here I will give you the explanation!

First is entry the given values under appropriate headings, so it will be easy for you.

Next the value of radius is not given, but the question says that the side of square is equal to 14 cm & they gave the circles touch externally on the side of square. So the value of radius is 7cm.

Then they asked the area of shaded one.

So you need to subtract the area of quadrant from the area of square.

And you need to substitute the values given in the beginning down.

If the question gives you the value of pi then use it, otherwise you 22/7

Then calculate as given in the attachment you will get the answer as 42 cm².

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