bahaoglah123
contestada

Decide whether each of these statements is true or false.
The diameter of a circle must pass
through the centre of the circle.
The radius of a circle is the distance
from one side of the circle to the other.
The radius of a circle is always exactly
half the length of its diameter.
The diameter of a circle is the distance
between any two points on its circumference.

Respuesta :

clarch19

Answer:

a) true

b) false, radius is distance from center to any point on circumference

c) true

d) false, diameter must pass through center of circle

Step-by-step explanation:

True

False

True

False

What is circle?

A circle is a closed two dimensional figure in which the set of all points in the plane is equidistant from a given point is called center .

What is diameter of the circle?

A line segment having both the end points on the circle and is the largest chord of the circle.

What is the radius of the circle?

A line segment connecting the center of a circle to any point on the circle itself.

  • A diameter of the circle will always pass through the center. Hence, the given statement " The diameter of a circle must pass through the center of the circle" is true.
  • The distance from one side of the circle to the other through the center point is called the diameter. Hence, the given statement, " The radius of circle is the distance from one side of the circle to the other" is false.
  • The radius of a circle is the length of the line segment from the center of a circle to a point on the circumference of the circle and diameter is a line segment from one end of the circle to the other end of the circle passing through the center of the circle. So, the radius is half the length of the diameter. Hence, the given statement is true.
  • The diameter of a circle which passes through its center and it is the distance between any two points on its circumference. If it not passes through the center it will not a diameter. Then it will chord. Hence, the given statement is false.

Learn more about the properties of circle here:

https://brainly.com/question/12930236

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