Fill in the blanks:
Segment of a circle is the region between an arc and ……..of the circle.

Academic Mathematics NCERT Class 9

To do:

We have to fill in the blank.

Solution:

Segment of a circle is the region between an arc and the centre of the circle.

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Updated on: 10-Oct-2022

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Given an arc of a circle, complete the circle.
1. Fill in the blanks:(i) The centre of a circle lies in ______ of the circle. (exterior/ interior)(ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)(iii) The longest chord of a circle is a ________ of the circle.(iv) An arc is a ________ when its ends are the ends of a diameter.(v) Segment of a circle is the region between an arc and ________ of the circle.(vi) A circle divides the plane, on which it lies, in _________ parts.
Fill in the blanks:A continuous piece of a circle is …….. of the circle.
Fill in the blanks:The longest chord of a circle is a ……… of the circle.
Fill in the blanks:The common point of a tangent to a circle and the circle is called ………...
If the length of an arc of a circle of radius $r$ is equal to that of an arc of a circle of radius $2r$, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of other circle. Is this statement false ? Why ?
An arc of length $20\pi$ cm subtends an angle of $144^o$ at the centre of a circle. Find the radius of the circle.
Write True or False: Give reasons for your answers.(i) Line segment joining the centre to any point on the circle is a radius of the circle.(ii) A circle has only finite number of equal chords.(iii) If a circle is divided into three equal arcs, each is a major arc.(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.(v) Sector is the region between the chord and its corresponding arc.(vi) A circle is a plane figure.
A square of diagonal 8 cm is inscribed in a circle. Find the area of the region lying inside the circle and outside the square.
An arc of length 15 cm subtends an angle of $45^o$ at the centre of a circle. Find in terms of $\pi$, the radius of the circle.
Fill in the blanks:The common point of a tangent and the circle is called ……….
A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.
In a circle of radius \( 35 \mathrm{~cm} \), an arc subtends an angle of \( 72^{\circ} \) at the centre. Find the length of the arc and area of the sector.
Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.
Fill in the blanks:A point whose distance from the centre of a circle is greater than its radius lies in …….. of the circle.

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