Advertisements
Advertisements
Question
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
radius of a circle
Advertisements
Solution
Yes, we need to understand terms like point, line, ray, angle, plane, circle, and quadrilateral before defining the required terms.
The distance from the centre to a point on the circle is called the radius of the circle. In the figure, p is the centre, Q is a point on the circle, and PQ is the radius.
APPEARS IN
RELATED QUESTIONS
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
In how many points two distinct planes can intersect?
The three steps from solids to points are ______.
The number of dimensions, a surface has ______.
The number of dimension, a point has ______.
Boundaries of solids are ______.
Boundaries of surfaces are ______.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
