If the area of a circle is 81 π square feet, find its circumference.
Answers
Answered by
2
Answer:
Circumference= 18π feet
Step-by-step explanation:
area of circle = πr²
Given area = 81π sq. feet
∴ πr² = 81π
r²=81
r=√81 = ±9
Radius can't be negative. So, r=9 feet.
Circumference = 2πr
=2π*9
=18π feet.
Answered by
1
Given :
- Area if circle = 81π feet²
To Find :
- Circumference of circle = ?
Solution :
As, we are given area of circle = 81π feet²
We know that :
- Area of circle = πr²
=> πr² = 81π feet²
=> r² = 81 feet²
=> r² = (9 feet)²
=> r = 9 feet
Hence, radius of circle = 9 feet.
Now, we have to find circumference of circle,
we know that :
- Circumference of circle = 2πr
=> Circumference = 2 × 22/7 × 9
=> Circumference = 396/7
=> Circumference = 56.57 feet (approx.)
Hence, circumference of circle is approximately 56.57 feet.
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