PARTS OF A CIRCLE WORKSHEET

About "Parts of a Circle Worksheet"

Parts of a Circle Worksheet :

Worksheet given in this section is much useful to the student who would like to study the different parts of a circle. 

Parts of a Circle Worksheet - Questions 

1.  What is center of a circle ? 

2.  What is radius of a circle ? 

3.  What is diameter of a circle ?

4.  Explain the relationship between radius and diameter of a circle ? 

5.  What is chord of a circle ? 

6.  What is secant of a circle ? 

7.  What is tangent of a circle ? 

8.  What is point of tangency ?

9.  What are tangent circles ? 

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


Parts of a Circle Worksheet - Answers 

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. 

After having gone through the stuff given above, we hope that the students would have understood, "Parts of a Circle Worksheet".

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ALGEBRA

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Writing and evaluating expressions

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