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Q) A circle of diameter 20 cm is equally divided into five sectors. Find the area and perimeter of one of the sectors. (Q 30 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Given diameter = 20 cm ∴ radius = = 10 cm Step 2: Since the circle subtends total 360 0 on […]
circles
Q) PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA. (Q 33 – 30/5/2 – CBSE 2026 Question Paper) Ans: It is given
Q) The perimeter of sector OAB of a circle with centre O and radius 5.6 cm, is 15.6 cm. Find length of the arc AB. Also find the value of θ. (Q 31 – 30/4/2 – CBSE 2026 Question Paper) Ans: Length of Arc AB: We are given: Perimeter of sector OAB = 15.6 cm
Q) In the given figure, TP and TQ are tangents to a circle with centre M, touching another circle with centre N at A and B respectively. It is given that MQ = 13 cm, NB = 8 cm, BQ = 35 cm and TP = 80 cm. (i) Name the quadrilateral MQBN.(ii) Is MN
Q) In the given figure, PA is the tangent to the circle with centre O such that OA = 10cm, AB = 8 cm and AB êž± OP . Find the length of PB. (Q 29 A – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start from Δ OAB, here, ∠B
Q) In the given figure, chord AB subtends an angle of 120 0Â at the centre of the circle with radius 7 cm. Find: (i) Perimeter of major sector OACB (ii) Area of the shaded segment, if area of A OAB = 21.2 cm 2 (Q 30 – 30/3/3 – CBSE 2026 Question Paper) Ans: (i)
Q) The coordinates of the centre of a circle are (x − 7, 2 x). Find the value(s) of ’x’, if the circle passes through the point (− 9, 11) and has radius 5 √2 units. (Q23 – 30/1/1 – CBSE 2026 Question Paper) Ans: Step 1: We are given, Coordinates of the centre =
Q) Two concentric circle are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle. (Q23 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s draw a diagram for our better understanding of the question: Here, we have 2 concentric circles,
Q) In the given figure, â–³ABC is a right triangle in which∠B = 90º, AB = 4 cm and BC = 3 cm. Find the radius of the circle inscribed in the triangle ABC. (Q27 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: GIvne that Δ ABC is right-angled at B, AB
Q) In the given figure, if a circle touches the side QR of a â–³PQR at S and extended sides PQ and PR at M and N respectively, then prove that : PM =1/2 (PQ + QR + PR). Â (Q27 B – 30/1/3 – CBSE 2026 Question Paper) Ans:Â From the diagram, we have