In a figure, ABCD is a square of side 14cm. with centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. find the area of the shaded portion.
Answers
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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For the second diagram apply the same format which was used in the first diagram.
You need to subtract the area of 4 quadrants + area of circle from the area of the square.
In the last diagram, there is no circle found between, so in the second diagram you need to add the area of circle with the 4 quadrants.
If you still have doubt in the second diagram please comment in my answer.
I will edit it and send you the workout page!!
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