RBSE Solutions for Class 9 Maths Chapter 10 Circles Ex 10.1

Rajasthan Board RBSE Solutions for Class 9 Maths Chapter 10 Circles Ex 10.1 Textbook Exercise Questions and Answers.

RBSE Class 9 Maths Solutions Chapter 10 Circles Ex 10.1

Question 1.
Fill in the blanks :
(i) The centre of a circle lies in __________ of the circle, (exterior/interior)
Answer:
interior

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

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

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

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

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

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.
Answer:
True. As ‘radius’ is used in two senses - in the sense of a line segment and also in the sense of a length.

(ii) A circle has only finite number of equal chords.
Answer:
False. As an infinite number of points he on the circle so we get infinite number of chords on joining any two points.

(iii) If a circle is divided into three equal arcs, each is a major arc.
Answer:
False. Since, these arcs are equal in length, so each arc will be less than a semicircle.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Answer:
True. As diameter is the longest chord and its length is twice the radius of the circle.

(v) Sector is the region between the chord and its corresponding arc.
Answer:
False. As the region between an arc and the two radii, joining the centre to end points of the arc is known as a sector.

(vi) A circle is a plane figure.
Answer:
True. Since, a circle is a collection of points in a plane which are at a fixed distance from a fixed point in the plane, so a circle lies wholly in a plane.