GSEB Solutions Class 9 Maths Chapter 10 Circles Ex 10.1

Gujarat Board GSEB Solutions Class 9 Maths Chapter 10 Circles Ex 10.1 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 9 Maths Chapter 10 Circles Ex 10.1

Question 1.
Fill in the blanks:

1. The centre of a circle lies in ______ of the circle. (exterior/interior).
2. A point, whose distance from the centre of a circle is greater than its radius lies in ______ of the circle. (exterior/interior).
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. A 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. The centre of a circle lies in the interior of the circle.
2. A point, whose distance from the centre of a circle is greater than its radius lies in the exterior of the circle.
3. The longest chord of a circle is a diameter of the circle.
4. An arc is a semicircle when its ends are the ends of a diameter.
5. A segment of a circle is the region between an arc and the chord of the circle.
6. A circle divides the plane, on which it lies, in three parts.

Question 2.
Write True or Fiase: Give reasons for your answers.

1. The line segment joining the centre to any point on the circle is a radius of the circle.
2. A circle has an only a 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. The sector is the region between the chord and its corresponding arc.
6. A circle is a plane figure.

Solution:

1. True because all points on the circle are equidistant from the centre.
2. False because there are infinitely many points on the circle. So for each point on the circle, a point can be determined on the circle at a given distance from that point resulting in greatly many equal chords.
3. False because for each arc, the remaining arc will have a greater length.
4. True because of the definition of diameter.
5. False by virtue of its definition.
6. True as it is a part of a plane.

Question 3.

1. A round pizza is cut into 4 pieces. Each piece represents ______
2. Circles with the same centre and different radii are called.
3. A chord of a circle divides the circle into two parts known as _____
4. A constant distance between the centre of a circle and any point on a circle is called
5. Diameter = 2 x ______
6. The boundary of a circle is called ______

Solution:

1. sector
2. concentric circles
3. segment
4. radius
5. radius
6. circumference