Q. 15.0( 2 Votes )

# Fill in the blank:

(i) The centre of the circle lies in …….. of the circle. (exterior/interior)

(ii) A point, where 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) A circle divides the plane, on which it lies, in ………….. parts.

Answer :

(i) The centre of the circle lies in interior of the circle.

We know that the centre is a fixed point in a circle i.e. interior of the circle.

(ii) A point, where distance from the centre of a circle is greater than its radius lies in exterior of the circle.

If the point’s distance from centre of circle is equals to its radius, then it lies on the circle.

If the distance is greater than the radius, then it lies in exterior of the circle.

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

A chord that passes through the centre of the circle is the longest chord and therefore it is the diameter.

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

Let AB be the diameter and AXB be the arc.

Here, we can see that AXB is a semicircle.

Thus, an arc is a semicircle when its ends are the ends of a diameter.

(v) A circle divides the plane, on which it lies, in three parts.

We know that a circle divides the plane on which it lies into three parts i.e.

1. Interior

2. Circle

3. Exterior

Rate this question :

A circle with centre O touches all the four sides of a quadrilateral ABCD. If the point of contact divides AB in the ratio 3 : 1 and AB = 8 cm, then find the radius of the circle if it is given OA = 10 cm.

Rajasthan Board Mathematics