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. Now in △AOB, radius
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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Q) A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs at each corner of a square shaped grass field of 20 m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to build fence around the
A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs Read More »
Q) Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam , your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below. Observe
Pookalam is the flower bed or flower pattern designed during Onam in Kerala. Read More »
Q) Find the area of the shaded region in Figure, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points P, Q, R and S of the sides AB, BC, CD and DA respectively of a square ABCD. (Use π = 22/7) Ans: We are given that an arc is drawn