Question

If a circle has an area of 12π cm² and a diameter of line AB, what is the length of arc AB?

Answer 1

Answer:

answer: 2* pi * sqrt(3)

Step-by-step explanation:

Area = pi * r^2

12*pi = pi * r^2

sqrt(12) = r

r = 2*sqrt(3)

The diameter of the circle is twice as larger.

d = 2(2sqrt(3))

d = 4 sqrt(3)

the circumference of a circle is d*pi

1/2 the circumference is pi*d/2

The arc length =  1/2 the circumference

The arc length = pi*d/2 = pi * 4*sqrt(3)/2 = 2* pi * sqrt(3)

Answer 2

Answer:

2√3π cm

Step-by-step explanation:

area of circle: πr²

area = A²

A =√ 12π

therefore, A = 2 √ 3π