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

Question 1.

Fill in the blanks:

- The center of a circle lies in …………of the circle.
- A point, whose distance from the center of a circle is greater then its radius lies in …………..of the circle.
- The longest chord of a circle is a ………… of the circle.
- An arc is a ………….. when its ends are the ends of a diameter.
- Segment of a circle is the region between an arc and ……….. of the circle.
- A circle divides the plane, on which it lies, in ……….. parts.

Solution:

- interior
- exterior
- diameter
- semicircle
- the chord
- three.

Question 2.

Write True or False. Give reasons for your answers.

- Line segment joining the center to any point on the circle is a radius of the circle.
- A circle has only finite number of equal chords.
- If a circle is divided into three equal arcs, each is a major arc.
- A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
- Sector is the region between the chord and its corresponding arc.
- A circle is a plane figure.

Solution:

- True [∵ All points on the circle are equidistant from the center]
- False [∵ A circle can have an infinite number of equal chords.]
- False [∵ Each part will be less than a semicircle.]
- True [∵ Diameter = 2 x Radius]
- False [∵ The region between the chord and its corresponding arc is a segment.]
- True [∵ A circle is drawn on a plane.]