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Locate the radius, diameter, arc, tangent and inscribed angle of a 12 inch pizza

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Answer:

Radius (r) = 6 inches

Diameter (d) = 12 inches

Arc = The curved outer edge of the pizza.

Tangent = A line touching the pizza at one point, starting from the center and perpendicular to the radius at that point.

Inscribed Angle = An angle formed by two slices of the pizza meeting at the center of the pizza.

Explanation:

In a circle, various elements such as the radius, diameter, arc, tangent, and inscribed angle can be identified. For a 12-inch pizza, we'll explore each of these elements:

Radius (r):

The radius is the distance from the center of the circle to any point on its circumference. For a 12-inch pizza, the radius is half of the diameter, which is 12 inches ÷ 2 = 6 inches.

Diameter (d):

The diameter is the distance across the circle, passing through the center, and it is equal to two times the radius. For a 12-inch pizza, the diameter is 2 × 6 inches = 12 inches.

Arc:

An arc is a part of the circle's circumference, representing a portion of the whole circle. In the context of a pizza, the arc would be the curved outer edge of the pizza.

Tangent:

A tangent is a line that touches the circle at only one point and is perpendicular to the radius at that point. In the context of a pizza, imagine a line starting from the center of the pizza and touching the edge at just one point.

Inscribed Angle:

An inscribed angle is an angle whose vertex is on the circle's circumference, and its sides are chords of the circle. In the context of a pizza, it could be an angle formed by two slices of the pizza meeting at the center of the pizza.

To summarize:

Radius (r) = 6 inches

Diameter (d) = 12 inches

Arc = The curved outer edge of the pizza.

Tangent = A line touching the pizza at one point, starting from the center and perpendicular to the radius at that point.

Inscribed Angle = An angle formed by two slices of the pizza meeting at the center of the pizza.

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