7. PQRS is a square, 4 equal circles are just touching each other whose centres are the vertices P, Q, R and S of the square. What is the ratio of the shaded to the unshaded area within square?
Answers
Answered by
1
Answer:
3:11
Step-by-step explanation:
Attachments:
robinsarang:
can u plz explain it more
Answered by
0
Answer:
3:11
Step-by-step explanation:
Lets us take radius of the square= x
So, side of square=2x
unshaded area within square=
A=4∗
4
1
∗Πr
2
A=Πr
2
=
7
22
x
2
shaded area within square=
A=a∗a−Πr
2
=2x
2
−
7
22
x
2
=
7
6
x
2
Ratio=
unshadedareawithinsquare
shadedareawithinsquare
=
7
22
x
2
7
6
x
2
=
11
3
Answer (B)
11
3
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