Answer:
d. 32 π
Step-by-step explanation:
As given
Area of circle = 64 π
Area of circumference = 1/2*(Area of circle)
Area of circumference = 1/2*(64π)
Area of circumference = 0.5*64π
Area of circumference = 32π
A circle is a curve sketched out by a point moving in a plane. The correct option is A, 12π unit.
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Given that the area of the circle is less than 64π. Therefor, the area of the circle can be written as,
Area of the circle < 64π units²
πR² < 64π
R < 8 units
Now, the circumference of the circle should be less than the circumference of the circle having radius of 8 units. Therefore, we can write,
Circumference of the circle with radius R < Circumference of the circle with radius of 8 units
2πR < 2 × π × 8 units
2πR < 16π units
Therefore, from the above inequality the circumference of the circle should be less than 16π unit. Since the only feasible option is 12π.
Hence, the correct option is A, 12π unit.
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