If the perimeter of a circle is equal to that of a square, then the ratio of their area is a) 4:π b) π:4 c) 1:4 d) 1:2
Answers
Step-by-step explanation:
Let the radius of the circle =r.
∴ Its circumference =2πr and Area =πr
2
.
It is given that circumference of circle is same as perimeter of square.
∴ Square's one side =
4
1
× cirumference of the given circle
=
4
1
×2πr=
2
πr
.
∴ Area of square =(
2
πr
)
2
.
So, Area of circle : Area of Square
=πr
2
:(
2
πr
)
2
=
π
4
=
7
22
4
=
11
14
Hope it helps you. Please mark it as the brainliest answer.
Answer:
Correct option is
B
14:11
Let the radius of the circle =r.
∴ Its circumference =2πr and Area =πr
2
.
It is given that circumference of circle is same as perimeter of square.
∴ Square's one side =
4
1
× cirumference of the given circle
=
4
1
×2πr=
2
πr
.
∴ Area of square =(
2
πr
)
2
.
So, Area of circle : Area of Square
=πr
2
:(
2
πr
)
2
=
π
4
=
7
22
4
=
11
14