Q) In Figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm, find the area of the shaded region. (Use π = 3.14). Ans: Step 1: In the figure, we have a quadrant OPBQ (quarter part of circle, with center O). Inside this quadrant, a square OABC is inscribed and […]
area related to circles
Q) A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors as shown in figure. Based on the above information, answer the following questions: (i) What is the radius of circle?
Q) Find the area of the major segment (in terms of 𝜋) of a circle of radius 5 cm, formed by a chord subtending an angle of 90˚ at the centre. [Q 24 B – Sample Question Paper – CBSE Board 2026] Ans: Let the chord AB cut the circle in 2 parts. Sector APB
Q) A brooch is a small piece of jewellery which has a pin at the back so it can be fastened on a dress, blouse or coat. Designs of some brooch are shown below. Observe them carefully. Design A: Brooch A is made with silver wire in the form of a circle with diameter 28mm. The
A brooch is a small piece of jewellery which has a pin at the back so it can be Read More »
Q) Atal Tunnel : Atal Tunnel (also known as Rohtang Tunnel) is a highway tunnel built under the Rohtang Pass in the eastern Pir Panjal range of the Himalayas on the Leh-Manali Highway in Himachal Pradesh. At a length of 9.02 km, it is the longest tunnel above 10,000 feet (3,048 m) in the world
Q) Find the length of the arc of a circle which subtends an angle of 60° at the centre of the circle of radius 42 cm. Ans: Since the length of an arc with angle θ, L = 2 π r x here, r = 42 cm, θ = 600 ∴ L = = 2
Q) The minute hand of a clock is 14 cm long. Find the area on the face of the clock described by the minute hand in 5 minutes. Ans: Step 1: ∵ Angle subtended by minute hand in full one hour or 60 mins = 3600 ∴ Angle subtended by minute hand in 5 mins
Q) AB is a chord of a circle centred at O such that ∠AOB=60˚. If OA = 14 cm then find the area of the minor segment. (take √3 =1.73) Ans: Let the chord AB cut the circle in 2 parts. Sector APB is minor segment and AQB is major one. Step 1: Now in
Q) The minute hand of a wall clock is 18 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes. Ans: ∵ Angle subtended by minute hand in full one hour or 60 mins = 3600 ∴ Angle subtended by minute hand in 35 mins =
Q) Prove that the tangents drawn at the end points of a chord of a circle makes equal angles with the chord. Ans: Let’s start by making a diagram for the question: Here, we have circle with Centre O and PQ is a chord. From point R, two tangents are drawn at end points of
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