# Circles – Exercise 10.1 – (MATHEMATICS) – 9th Class

**TEXTBOOK QUESTIONS SOLVED**

**Exercise 10.1**

**1. Fill in the blanks:**

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

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Ans. – interior

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

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Ans. – exterior

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

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Ans. – diameter

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

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Ans. – semicircle

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

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Ans. – the chord

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

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Ans. – three.

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

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

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Ans. – True

**Reason:**Each point on the circumference of a circle is equidistant from a fixed point and this distance is called radius of the circle.

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

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Ans. – False

**Reason:**Infinitely many chords can be drawn in a circle.

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

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Ans. – (iii) False

**Reason:**Major arc has larger length than that of minor arc. Any arc is neither major nor minor among three equal arcs.

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

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Ans. – True

**Reason:**A diameter is the longest chord of a circle, which is double of its radius.

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

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Ans. – False

**Reason:**.A sector is the region among the arc and two corresponding radii.

(vi) A circle is a plane figure.

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Ans. – True.

**Reason:**A circle is a two-dimensional figure.