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

User Allesklar
by
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2 Answers

6 votes

Answer:

2√3π cm

Explanation:

area of circle: πr²

area = A²

A =√ 12π

therefore, A = 2 √ 3π

User Micnoy
by
5.3k points
2 votes

Answer:

answer: 2* pi * sqrt(3)

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)

User Jose Carrillo
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5.0k points