Q) Find the area of the minor and the major sectors of a circle with radius 6 cm, if the angle subtended by the minor arc at the centre is 60 deg (Use pi = 3 * 14 ) Ans: Let’s draw the diagram for better understanding: Step 1: Here, we are given that θ […]
Find the area of the minor and the major sectors of a circle with radius 6 cm, Read More »
Q) If a chord of a circle of radius 10 cm subtends an angle of 60 deg at the centre of the circle, find the area of the corresponding minor segment of the circle. (Use pi = 3.14 and sqrt(3) = 1.73 ) Ans: Let’s draw the diagram for better understanding: Step 1: Here, we
If a chord of a circle of radius 10 cm subtends an angle of 60 deg at the centre Read More »
Q) In a park, four poles are standing at positions A, B, C and D around the circular fountain such that the cloth joining the poles AB, BC, CD and DA touches the circular fountain at P, Q, R and S respectively as shown in the figure. Based on the above information, answer the following
Q) The perimeter of a certain sector of a circle of radius 5.6 m is 20.0 m. Find the area of the sector. Ans: Given that the radius = 5.6 m In a circle, perimeter of the sector is given by, P = 2 r + L Here, L is the arch length of a
Q) In the given figure, diameters AC and BD of the circle intersect at O. If ∠AOB = 60° and OA = 10 cm, then : (i) find the length of the chord AB. (ii) find the area of shaded region. (Take π = 3.14 and √3 = 1.73) π Ans: Let’s start with Δ
Q) In the given figure, AB is a diameter of the circle with centre O. AQ, BP and PQ are tangents to the circle. Prove that ∠POQ = 90°. Ans: Let’s connect Point O with Point R where tangent PQ touches the circle. Let’s consider ∠ POR = x and ∠ QOR = y Step 1:
Q) A circle with centre O and radius 8 cm is inscribed in a quadrilateral ABCD in which P, Q, R, S are the points of contact as shown. If AD is perpendicular to DC, BC = 30 cm and BS = 24 cm, then find the length DC. Ans: To find length of DC, we
Q) A backyard is in the shape of a triangle ABC with right angle at B. AB = 7 m and BC = 15 m. A circular pit was dug inside it such that it touches the walls AC, BC and AB at P, Q and R respectively such that AP = x m. Based
A backyard is in the shape of a triangle ABC with right angle at B. Read More »
Q) If a hexagon ABCDEF circumscribes a circle, prove that AB + CD + EF = BC + DE + FA. Ans: Let’s first draw a diagram for the given question: Let ABCDEF be the Heaxagon which is circumscribed on a circle. This circle has Center O and radius R. Now let P, Q, R,
If a hexagon ABCDEF circumscribes a circle, prove that AB + CD + EF = BC + DE + FA. Read More »
Q) A horse, a cow and a goat are tied, each by ropes of length 14 m, at the corners A, B and C respectively, of a grassy triangular field ABC with sides of lengths 35 m, 40 m and 50 m. Find the total area of grass field that can be grazed by them.
A horse, a cow and a goat are tied, each by ropes of length 14 m, at the corners Read More »