Circles (Exercise: 10.1)

Circles


Chapter 10


Exercise 10.1


EX 10.1 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.

Solution:

(i)  interior

(ii) exterior

(iii)diameter

(iv) semicircle.

(v) chord

(vi) 3 (three)


EX 10.1 QUESTION 2.


Write True or False: Give reasons for your Solutions.

(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.

Solution:

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

(ii) False. A circle has infinite numbers of equal chords of a circle.

(iii) False. Each part will be less than a semicircle

(iv) True. Diameter = 2 x Radius

(v) False. A sector is a region which is form between the arc and the radii of the circle.

(vi) True. A circle is drawn on a plane