Areas Related to Circles

Important Questions

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…

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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…

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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…

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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,…

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Q) A horse is placed for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21…

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Q) PA and PB are tangents drawn to a circle of centre O from an external point P. Chord AB makes and angle of 30 with…

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Q) Find the area of the unshaded region shown in the given figure. Ans: Let’s redraw the diagram: As we can see in the diagram, in…

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Q) With vertices A, B and C of Δ ABC as centres, arcs are drawn with radii 14 cm and the three portions of the triangle…

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Q) From an external point P, two tangents, PA and PB are drawn to a circle with centre O. At a point E on the circle,…

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Q) A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5…

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Q) Reeti prepares a rakhi for her brother Ronit.  The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in…

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Q) In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students.…

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Q) A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor…

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