Jharkhand Board JAC Class 9 Maths Solutions Chapter 10 Circles Ex 10.1 Textbook Exercise Questions and Answers.

## JAC Board Class 9th Maths Solutions Chapter 10 Circles Ex 10.1

Page-171

Question 1.

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.

Answer:

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

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

(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.

Question 2.

Write True or False: Give reasons for your answers.

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

(ii) A circle has only finite number of equal chords.

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

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

(v) Sector is the region between the chord and its corresponding arc.

(vi) A circle is a plane figure.

Answer:

(i) True.

All the line segments from the centre to the circle are of equal length.

(ii) False.

We can draw infinite number of equal chords.

(iii) False.

We get major and minor arcs for unequal arcs. So, for equal arcs on circle we can’t say it is major arc or minor arc.

(iv) True.

A chord which is twice as long as radius must pass through the centre of the circle and is diameter of the circle.

(v) False.

Sector is the region between the arc and the two radii of the circle.

(vi) True.

A circle can be drawn on the plane.