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.