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?
Question
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?
Solution
Let's solve this step by step.
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Draw a diagram: Draw a circle with a radius of 5m to represent the park. Label the positions of Reshma, Salma, and Mandip on the circle.
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Identify the given distances: The distance between Reshma and Salma is 6m, and the distance between Salma and Mandip is also 6m.
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Use the properties of a circle: In a circle, the distance between any two points on the circumference is equal to the radius of the circle.
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Find the distance between Reshma and Mandip: Since Reshma and Salma are 6m apart, and Salma and Mandip are also 6m apart, we can add these distances together. 6m + 6m = 12m.
Therefore, the distance between Reshma and Mandip is 12m.
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