Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawnin a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. The distance betweenReshma and Salma and between Salma and Mandip is 6m each. In the given below figure Reshma’sposition is denoted by R, Salma’s position is denoted by S and Mandip’s position is denoted by M.Based on the above information, answer the following questions :(i) Find the area of triangle ORS. 2M(ii) What is the distance between Reshma and Mandip? 1M(iii) Find the length of ON. 1M38) In a forest, a big tree got broken due to heavy rain and wind. Due to this rain the big branches AB andAC with lengths 5m fell down on the ground. Branch AC makes an angle of 30° with, the main tree AP.

Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?

1. Circle A is shown on the coordinate plane shown below.a) Write the center and the radius of the circle.b) Write the equation of the circle.c) Name three points that lie on the circle.d) Find the area of circle to the nearest square unit.    2. Explain the steps necessary to find the center and radius of the circle below.x2 + 4x + y2 ‒ 6y = 9Then, find the center and the radius of this circle and sketch the graph of the circle.   3. Coach Stevens needs to purchase sprinklers to water the baseball field. The standard distance between bases is 90 feet and the infield is a perfect square.Coach Stevens found one sprinkler that sprays a maximum distance of 50 feet. If Coach Stevens placed the sprinkler on the pitcher's mound, would the water spray so that the entire infield was watered? Justify your response.

It is proposed to build a new circular park equal in area to the sum of areas of two circularparks of diameters 16 m and 12 m in a locality. The radius of the new park is

Three circles of radii 8 cm, 5 cm and 5 cm touch each other externally. The area of the triangle formed by the line segments joining the centers of the three circles is

Class X students of a secondary school in Kerala have been allotted arectangular plot of a land for gardening activity. Saplings of coconut areplanted on the boundary at a distance of 1m from each other. There is atriangular grassy lawn in the plot as shown in the fig. The students are to sowseeds of flowering plants on the remaining area of the plot.Considering A as origin, answer question 1 to41. Find the distance PR*1 pointa) √5b) √2c)5d)22. Find the distance QR*1 pointa) √5b) 3√2c)2d)63. Find midpoint of QR*1 pointa)(4.5,3.5)b)(9,6)c)(2 ,3)d)(5,6)4. Find a point on PQ which divides it in the ratio 1:3*1 pointa)(4,3)b)(9,6)c)(13/4 ,3)d) ( 15/4,5)