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

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

Question 1.
Fill in the blanks:

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

Solution:

1. interior
2. exterior
3. diameter
4. semicircle
5. the chord
6. three. Question 2.

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

Solution:

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