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RD Chapter 15- Areas Related to Circles Ex-15.3 Interview Questions Answers

Question 1 : AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.

Answer 1 :

Radius of the circle (r) = 4 cm
Length of the chord AB = 4 cm
∴  In ΔOAB
OA = OB = AB    (each = 4 cm)

Question 2 : A chord PQ of length 12 cm subtends an angle of 120° at the centre of a circle. Find the area of the minor segment cut off by the chord PQ.

Answer 2 :

Length of chord PQ = 12 cm
Angle at the centre (θ) = 120°
∵  Draw OD ⊥ DQ
which bisects PQ at D and also bisects ∠POQ

Question 3 : A chord of a circle of radius 14 cm makes a right angle at the centre. Find the areas of the minor and major segments of the circle.

Answer 3 :

Radius of the circle (r) = 14 cm
Angle at the centre (θ) = 90°

Question 4 : A ehord 10 cm long is drawn in a circle whose radius is 5√2 cm. Find area of both the segments. (Take π = 3.14).

Answer 4 :

Radius of the circle (r) = 5√2  cm
And length of chord AB = 10 cm

Question 5 : A chord AB of a circle, of radius 14 cm makes an angle of 60° at the centre of the circle. Find the area of the minor segment of the circle. (Use π = 22/7)

Answer 5 :

Radius of the circle (r) – 14 cm
Angle at the centre subtended in the fnui
AB = 60°

Question 6 : Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60°. [NCERT Exemplar]

Answer 6 : Given that, radius of circle (r) = 14 cm