Exploring Circles and Their Parts

What is the definition of a circle in mathematical terms?

• A shape with equal sides

• The set of all points equidistant from a fixed point

• A two-dimensional square

• A polygon with infinite sides

What is a diameter of a circle?

• The shortest chord in the circle

• The longest radius of the circle

• A chord that passes through the center

• A chord not passing through the center

If a radius of a circle is 8 cm, what is the length of the diameter?

• 4 cm

• 12 cm

• 16 cm

• 8 cm

What type of arc forms exactly half of a circle?

• Minor arc

• Quarter circle

• Major arc

• Semicircle

Which arc is smaller than a semicircle?

• Semicircle

• Major arc

• Minor arc

• Complete circle

What is the relationship between a central angle and its intercepted arc?

• The angle is half the arc

• The angle is twice the arc

• The angle and the arc are equal

• There is no relationship

How is the measure of an inscribed angle related to its intercepted arc?

• Half the arc

• Equal to the arc

• One fourth the arc

• Twice the arc

What is the correct way to draw a chord that is longer than the radius but shorter than the diameter?

• Impossible to draw

• Use a compass set to the radius length

• Use a compass set to more than the radius but less than the diameter

• Any chord will work

If given a radius of 5 cm, which chord length cannot be drawn?

• 5 cm

• 10 cm

• 3 cm

• 12 cm

What is the measure of an arc subtended by a central angle of 35 degrees?

• 35 degrees

• 70 degrees

• 17.5 degrees

• 25 degrees