# Fill in the blanks:

(i) The centre of a circle lies in____of the circle. (exterior / interior)

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in____of the circle. (exterior / interior)

(iii) The longest chord of a circle is a_____of the circle.

iv) An arc is a______when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and______of the circle.

(vi) A circle divides the plane, on which it lies, in_______parts.

**Solution:**

(i) The center of the circle lies in __interior__ of the circle. (exterior / interior)

Reasoning: The collection of all points in a plane, which is at a fixed distance from a fixed point in the plane, is called a circle. The fixed point is the center of the circle.

(ii) A point, whose distance from the center of the circle is greater than its radius lies in __exterior__ of the circle. (exterior / interior)

Reasoning: The collection of all points in a plane, which is at a fixed distance from a fixed point in the plane is called a circle. The fixed point is the center of the circle. Fixed distance is the radius of the circle. Any point outside the circle will have a greater distance compared to the radius.

(iii) The longest chord of the circle is a __diameter__ of the circle.

Reasoning: Let us check by drawing a random chord DE and diameter AB in the circle.

AC = CD = CE = BC = radius AB = 2 × radius.

In ∆DCE, DE < DC + CE (sum of two sides of a triangle should be greater than the third side) DE < 2 × radius

DE < diameter

Thus, we know that any chord that is drawn randomly (without passing through the center) will be shorter than the diameter. Thus, the diameter is the longest chord in the circle.

(iv) An arc is a __semicircle__ when its ends are the ends of a diameter.

Reasoning: We know that diameter is the longest chord in the circle. Diameter divides the circle into 2 equal halves or arcs. When two arcs are equal, each is a semicircle.

(v) Segment of a circle is the region between an arc and __chord__ of the circle.

Reasoning: The region between a chord and either of its arcs is called a segment of the circular region or simply a segment of the circle.

(vi) A circle divides the plane, on which it lies, in __three__ parts.

Reasoning: A circle divides the plane on which it lies into three parts. They are: (i) inside the circle, which is also called the interior of the circle; (ii) the circle and (iii) outside the circle, which is also called the exterior of the circle.

**Video Solution:**

## Fill in the blanks: (i) The centre of a circle lies in____of the circle. (exterior / interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in____of the circle. (exterior / interior) (iii) The longest chord of a circle is a_____of the circle. (iv) An arc is a______when its ends are the ends of a diameter. (v) Segment of a circle is the region between an arc and______of the circle. (vi) A circle divides the plane, on which it lies, in_______parts.

### Maths NCERT Solutions Class 9 - Chapter 10 Exercise 10.1 Question 1:

**Summary:**

The blanks are (i) interior, (ii) exterior, (iii) diameter, (iv) semicircle, (v) chord, and (vi) three.