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Area of a Segment

In the follow...

Question

In the following question, a statement of assertion (A) is followed by a statement of reason (R).

Mark the correct choice as:
Assertion: In a circle of radius 6 cm, the angle of sector is $60 °$ . Then area of sector is $18 \frac{6}{7} c m^{2}$ .

Reason: The circumference of a circle with radius 𝒓 is 𝟐𝝅𝒓.

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Solution

Option B is correct.

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Similar questions

Q. Assertion (A)
The area of the quadrant of a circle having a circumference of 22 cm is

9 \frac{5}{8} {cm}^{2} .

Reason (R)
The area of a sector of a circle of radius r with central angle x° is

(\frac{x \times π r^{2}}{360}) .

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) Reason (R) true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. Assertion (A)
An arc of a circle of length 5π cm bounds a sector whose area is 20π cm². Then, the radius of the circle is 4 cm.

Reason (R)
A chord of a circle of radius 12 cm subtends an angle of 60° at the centre of the circle. The area of the minor segment of the circle is 13.08 cm².

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) Reason (R) true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. Question 1
Find the area of a sector of a circle with radius 6 cm if angle of the sector is

60^{\circ}

Q. Direction: In the following question, a statement of assertion (A) is followed by a statement of reason (R).
Mark the correct choice as:

Assertion: In a circle of radius 6cm, the angle of sector is 60°. The area of the sector is $18 \frac{6}{7} c m^{2}$ .

Reason: The circumference of a circle with radius $r$ is $2 π r$ .

A s s e r t i o n :

In a circle of radius

6 c m

, the angle of a sector is

60 °

. Then the area of the sector is

18 \frac{6}{7} c m^{2} .

R e a s o n :

Area of the circle with radius

r

π r^{2}

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