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
