Answer:
Step-by-step explanation:
It maybe will be
What is the perimeter of a square which has the same area as a circle with circumference of 4π?
1 answer:
Answer:
perimeter = 8
Step-by-step explanation:
We require to calculate the area (A) of the circle
A = πr² ← r is the radius
circumference = 4π = 2πr, hence
2πr = 4π ( divide both sides by 2π )
r = 2, hence
A = π × 4 = 4π
The area of the square is therefore 4π and area = s² ← s is the side length
s² = 4π ( take the square root of both sides )
s = = 2
, hence
perimeter = 4 × 2 = 8
You might be interested in
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = =
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D