wire is bent to form an equilateral triangle and wire b is bent in the form of a square such that the area covered by the triangle and square is the same what is the ratio of the length of wire a to wire b.
Answers
Answered by
0
Answer:
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Answered by
0
Answer:
346.5cm
Step-by-step explanation:
Area of an equilateral triangle=
4
3
a
2
where a=side of the triangle
Now, given that
4
3
a
2
=121
3
a
2
=121×4
a
2
=484
a=
484
a=22 cm
Therefore,
Length of wire=a+a+a=66 cm
Now, this wire is bent into a circle, so circumference of circle=length of the wire
So,
2πr=66
2×
7
22
×r=66
r=
2×22
66×7
r=
2
21
Now,
Area of circle=πr
2
=
7
22
×(
2
21
)
2
=
2
693
=346.5 cm
2
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