**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.

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

**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".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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