## Areas Related to Circles

### Important Questions

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…

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…

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…

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…

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…

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) 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…

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…

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…

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…

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,…

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…

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…

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.…

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…