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.

GSEB Solutions Class 9 Maths Chapter 10 Circles Ex 10.1

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.

GSEB Solutions Class 9 Maths Chapter 10 Circles Ex 10.1

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

GSEB Solutions Class 9 Maths Chapter 10 Circles Ex 10.1

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