The circle shown above has a radius of 4. The central angle, a, of the sector is 2/3n and the arc length represented by b
Determine whether each statement is true about the circle shown above. Select True or False for each statement.
radians, and the arc length is represented

A circle is a curve sketched out by a point moving in a plane. Except for the first statement both the second and the third statement is true.

What is a circle?

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.

The complete question is mentioned in the below image.

For the given circle,

The area of the sector is,

Area of sector = π(4)²×[2π/(3×2π)] = 16π/3

The area of the circle is,

Area of the circle = π×(4)² = 16π

The length of the Arc is,

Length of the arc = 2π×(4)×[2π/(3×2π)] = 8π/3

Hence, Except for the first statement both the second and the third statement is true.

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The circle shown above has a radius of 4. The central angle, a, of the sector is 2/3n and the arc length represented by b Determine whether each statement is true about the circle shown above. Select True or False for each statement. radians, and the arc length is represented

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What is a circle?

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The circle shown above has a radius of 4. The central angle, a, of the sector is 2/3n and the arc length represented by b
Determine whether each statement is true about the circle shown above. Select True or False for each statement.
radians, and the arc length is represented