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Tangent and Secant

Sector is the...

Question

Sector is the region between a chord and its corresponding arc.

A

False

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B

True

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Solution

The correct option is A False

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Q. Write true or false: Give reasons for your answers.
(1) Line segment joining the centre 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.

Q. Write the truth value (T/F) fo the following with suitable reasons:

(i) A circle is a plane figure.

(ii) Line segment joining the centre to any point on the circle is a radius of the circle.

(iii) If a circle is divided into three equal arcs each is a major arc.

(iv) A circle has only finite number of equal chords.

(v) A chord of a circle, which is twice as long is its radius is a diameter of the circle.

(vi) Sector is the region between the chord and its corresponding arc.

(vii) The degree measure of an arc is the complement of the central angle containing the arc.

(viii) The degree measure of a semi-circle is 180°

Q. In a circle of radius

21 c m

, an arc subtends and angle of

60^{\circ}

at the centre. Find:
(i) The length of the arc (ii) Area of the sector formed by the arc (iii) Area of the segment formed by the corresponding chord

The area of a sector of a circle of 6 cm radius is 15

π

sq.cm. Find the measure of the arc and length of the arc corresponding to the sector.

Q. Sector is the region between a chord and its corresponding arc.

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