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:

- The centre of a circle lies in ______ of the circle. (exterior/interior).
- A point, whose distance from the centre of a circle is greater than its radius lies in ______ of the circle. (exterior/interior).
- The longest chord of a circle is a ______ of the circle.
- An arc is a ______ when its ends are the ends of a diameter.
- A 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:

- The centre of a circle lies in the interior of the circle.
- A point, whose distance from the centre of a circle is greater than its radius lies in the exterior of the circle.
- The longest chord of a circle is a diameter of the circle.
- An arc is a semicircle when its ends are the ends of a diameter.
- A segment of a circle is the region between an arc and the chord of the circle.
- A circle divides the plane, on which it lies, in three parts.

Question 2.

Write True or Fiase: Give reasons for your answers.

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

Solution:

- True because all points on the circle are equidistant from the centre.
- 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.
- False because for each arc, the remaining arc will have a greater length.
- True because of the definition of diameter.
- False by virtue of its definition.
- True as it is a part of a plane.

Question 3.

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

Solution:

- sector
- concentric circles
- segment
- radius
- radius
- circumference