Question 1 :
What is center of a circle?
Question 2 :
What is radius of a circle?
Question 3 :
What is diameter of a circle?
Question 4 :
Explain the relationship between radius and diameter of a circle?
Question 5 :
What is chord of a circle?
Question 6 :
What is secant of a circle?
Question 7 :
What is tangent of a circle?
Question 8 :
What is point of tangency?
Question 9 :
What are tangent circles?
Question 10 :
Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of "circle C".
(i) AD, (ii) CD, (iii) EG, (iv) HB
Use the diagram shown below to understand the answers for the questions 1, 2 and 3.
Question 1 :
What is center of a circle?
Answer :
A circle is the set of all points in a plane that are equidistant from a given point, called the center of the circle. A circle with center P is called "circle P".
Question 2 :
What is radius of a circle?
Answer :
The distance from the center to a point on the circle is the radius of the circle.
Two circles are congruent, if they have the same radius.
Question 3 :
What is diameter of a circle?
Answer :
The distance across the circle, through its center, is the diameter of the circle.
Question 4 :
Explain the relationship between radius and diameter of a circle?
Answer :
The diameter is twice the radius.
Diameter = 2 x radius
or
Radius = Diameter/2
Question 5 :
What is chord of a circle?
Answer :
A chord is a segment whose endpoints are points on the circle. PS and PR are chords in the diagram shown below.
Diameter is also a chord that passes through the center of the circle. PR is the diameter in the diagram shown below.
Question 6 :
What is secant of a circle?
Answer :
A secant is a line that intersects a circle in two points. Line j in the diagram below is a secant.
Question 7 :
What is tangent of a circle?
Answer :
A tangent is a line in the plane of a circle that intersects the circle in exactly one point. Line k in the diagram above is a tangent.
Question 8 :
What is point of tangency?
Answer :
The point where a tangent line touches the circle. Point m in the diagram above is the point of tangency.
Question 9 :
What are tangent circles?
Answer :
Coplanar circles that intersect in one point are called tangent circles.
Question 10 :
Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of "circle C".
(i) AD, (ii) CD, (iii) EG, (iv) HB
Answer :
(i) AD is a diameter, because it contains the center C.
(ii) CD is a radius, because C is the center and D is a point on the circle.
(iii) EG is a tangent, because it intersects the circle in one point.
(iv) HB is a chord, because its endpoints are on the circle.
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