## Karnataka Board Class 9 Maths Chapter 12 Circles Ex 12.1

Question 1.

Fill in the blanks : (Answers are filled)

(i) The centre of a circle lies in the interior of the circle, (exterior/interior)

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

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

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

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

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

2. Write True or False: Give reasons for your answers.

Question 1.

Line segment joining the centre to any point on the circle is a radius of the circle.

Answer:

True. Each point in the circumference are equidistant from the centre of the circle. That distance is called radius of the circle.

Question 2.

A circle has only finite number of equal chords.

Answer:

False. A circle has infinite number of equal chords because in a circle there are infinite points.

Question 3.

If a circle is divided into three equal arcs, each is a major arc.

Answer:

False. If equilateral triangle is constructed in interior of the circle, the three equal parts are called minor arcs.

Question 4.

A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Answer:

True. Diameter is a line segment which passes through centre of the circle.

Question 5.

Sector is the region between the chord and its corresponding arc.

Answer:

False. The part which joins centre of the circle to the end points of arc, area coveted with two radii and arc s is called sector.

Question 6.

A circle is a plane figure.

Answer:

True. A circle has two dimension.